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Paper Citation Record · LEDGER

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets

As of 11 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2507.17166.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.17166 v1

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:06:22.349998Z

measured 56 of 56 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

56 of 56 outbound references displayed

  • verified exact3
  • verified fuzzy46
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 51a2642f-3f5e-4b0f-8231-75890baef851 · outbound

This paper cites Abels, G.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Abels, G

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.896712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.188906Z digest=sha256:56db80dc033bf8fd129a9b9d5c108d31b19b7c2beb2991981e81a1ad4463ac24

Observation a87eb05a-0188-479c-838b-1130f753d5ea · outbound

This paper cites Aikawa, Quasiadditivity of Riesz capacity, Math.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Aikawa, Quasiadditivity of Riesz capacity, Math

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.887969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.192613Z digest=sha256:3f38274c083cfea8a89e350cdc79c39a26f66b4044c3577f89fbb3c849d1a74e

Observation 4d230954-d374-4211-bfeb-7760ad0a48d6 · outbound

This paper cites Chang, K.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Chang, K

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.879407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.195877Z digest=sha256:e2ab433c28b9d71e36c62f5a47ac55782a97af0696dcdaed8b6e91098addab0f

Observation 0b4d3b37-adbb-4d66-bd77-b753bd53cb0c · outbound

This paper cites Choi and B.-S.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Choi and B.-S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.870314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.199266Z digest=sha256:f6460ff3e09d07b3061b90ae3b867d75203c9fe278cf3cf6039a028145dbaf18

Observation f326a4da-dc8d-4058-9256-09998d135a6d · outbound

This paper cites Sobolev regularity theory for stochastic reaction-diffusion-advection equations with spatially homogeneous colored noises and infinitesimal generators of subordinate Brownian motions.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Sobolev regularity theory for stochastic reaction-diffusion-advection equations with spatially homogeneous colored noises and infinitesimal generators of subordinate Brownian motions

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:06:22.414128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.202808Z digest=sha256:9b5bf11c40ab97f2b2da13cb8ff7efa5c1bbec8c6c156b3566f1a468bc6d34bc

Observation 914a9272-fb29-4959-a91d-b7b3c83e47e5 · outbound

This paper cites Choi, K.-H.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Choi, K.-H

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.861757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.206265Z digest=sha256:b22e07db8d3aba139a5cd466523aff2ff1e3e6bf97b8d11ccf712ead7902d646

Observation 9e9b29e5-8c0e-4463-badc-d2795a51892d · outbound

This paper cites Chong and R.C.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Chong and R.C

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.852871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.209630Z digest=sha256:dc862aa7d4f15d7285478391485e572a9f8e627e1c531cdb6cc0b58709d75975

Observation 5debfdc1-9ecb-4899-80fb-6a6cc29a2359 · outbound

This paper cites Chung, Doubly-Feller process with multiplicative functional in Seminar on stochastic processes, 1985, Progr.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Chung, Doubly-Feller process with multiplicative functional in Seminar on stochastic processes, 1985, Progr

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.844209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.212356Z digest=sha256:47a5483e047dce3394c1ac465b9ba06c898ea91984b20c1cd285dbb3bca78602

Observation 7fbdbecc-2098-4783-8e78-e18904ed6de9 · outbound

This paper cites Corwin, H.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Corwin, H

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.835017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.215110Z digest=sha256:e4015c62a2031085cda065182eba64670e309d82deb56ad465ecf6aefe9040c4

Observation 76e5fbd6-5048-49ed-901d-7c9c5fadb52c · outbound

This paper cites Dalang, Extending the martingale measure stochastic integral with applications to spa- tially homogeneous S.P.D.E.’s, Electron.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Dalang, Extending the martingale measure stochastic integral with applications to spa- tially homogeneous S.P.D.E.’s, Electron

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.826032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.217998Z digest=sha256:b57e9d1764b95b76e5f3a27be6f614a5f02561849a120fbb4ac6f7aa8d596b70

Observation 12724331-6910-44f3-8416-556f136a46ad · outbound

This paper cites Dalang, N.E.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Dalang, N.E

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.816613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.220701Z digest=sha256:d034e6847c8cb5a5466c788804bbaff398bf97b7ac884a07c197d2232de1736d

Observation bd93ae6e-f250-483b-b8b3-4f1b128a1bff · outbound

This paper cites Dalang, L.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Dalang, L

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.807833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.223831Z digest=sha256:fbf0cc5dfffd3b76c5682f1c218fc3fe235e9e94b0b46488bdb34af919390d6d

Observation 6d39f39f-220d-4908-a91d-7f1d48326411 · outbound

This paper cites Dawson, H.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Dawson, H

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.798921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.226503Z digest=sha256:919ae6a6b911621b122cad0ce9042eb4d840d15f2ef523f98517fb346ae30dd6

Observation e94f2661-5f4b-47ce-9771-f09a8116a0d8 · outbound

This paper cites Dyda, Fractional calculus for power functions and eigenvalues of the fractional Laplacian, Fract.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Dyda, Fractional calculus for power functions and eigenvalues of the fractional Laplacian, Fract

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.790153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.229907Z digest=sha256:b96e878cb456069c77fe95b774f90e0c8d1ffa845fda3fe982f494e87eeeff9b

Observation 51085490-7470-417f-b6b6-91e3ee82ed9d · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:06:22.780635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.233412Z digest=sha256:e872c3e69fa9213e35f738d6e107296716a8b1db0bd2fcc77905b231a0814aaf

Observation 3d9afec3-b830-4bbb-af7f-154e29679669 · outbound

This paper cites Ferrante, M.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Ferrante, M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.771399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.237099Z digest=sha256:32c1344f871c661f245ffc249e8540acba434db479142e7576951780262abdd9

Observation a9de7dc4-7642-4cd1-9dfe-5dd9f8c0349f · outbound

This paper cites Gilbarg, L.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Gilbarg, L

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.762575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.239965Z digest=sha256:e3c206f406acfc2023dce77cf76f431539757ceae1664e8fb744e58311cd98fe

Observation c09b8718-73a7-4461-aeab-0601f8cc6e4d · outbound

This paper cites Grafakos, Classical fourier analysis 3rd ed., Graduate Texts in Mathematics, Vol.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Grafakos, Classical fourier analysis 3rd ed., Graduate Texts in Mathematics, Vol

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.753744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.242719Z digest=sha256:dcd605ca7d87d976678cf36c094737799c574110018e4afb7b1de78a2d08e9b0

Observation bc4efac1-b750-4366-870a-018548fb5f6f · outbound

This paper cites Grubb, Local and nonlocal boundary conditions for µ-transmission and fractional elliptic pseudodifferential operators, Anal.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Grubb, Local and nonlocal boundary conditions for µ-transmission and fractional elliptic pseudodifferential operators, Anal

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.745123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.245498Z digest=sha256:33e09b1bc54bc801d67e171a2225835771f158b9e3b38b83538be9d22f971706

Observation 27764af1-2c0b-4a16-b61e-8bd9824d6bf3 · outbound

This paper cites Grubb, Fractional Laplacians on domains, a development of H¨ ormander’s theory of µ- transmission pseudodifferential operators, Adv.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Grubb, Fractional Laplacians on domains, a development of H¨ ormander’s theory of µ- transmission pseudodifferential operators, Adv

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.736167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.248374Z digest=sha256:712d4a8b2681585137cd4f219545845b447053b88aed052400cb0d26e49d8a91

Observation b0009dad-5ba5-4f21-83f9-11025361d925 · outbound

This paper cites Gel’fand, N.Y.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Gel’fand, N.Y

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.726481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.251200Z digest=sha256:b824e199fe109f7619d83107ce9cad83fd394bf2d6755760a91b34fa5072f746

Observation 08696402-7e4f-4001-92a5-b2e1a05de084 · outbound

This paper cites Han, A regularity theory for stochastic partial differential equations driven by multi- plicative space-time white noise with the random fractional Laplacians, Stoch.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Han, A regularity theory for stochastic partial differential equations driven by multi- plicative space-time white noise with the random fractional Laplacians, Stoch

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.717490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.254187Z digest=sha256:ab2cda229d26a09aae2863c13f6b4fe5186249bae8879e4b39f7ac30743e10de

Observation 21171dc3-2ae0-460d-bc0c-0a099133a12c · outbound

This paper cites Han, K.-H.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Han, K.-H

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.707537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.257106Z digest=sha256:030ec58689353d140721a2ca52a625c81125d9b8f618c2f207e832f1922d3c76

Observation 8df5f283-e220-4e7b-bd41-410f71345f0e · outbound

This paper cites Hyt¨ onen, J.M.A.M.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Hyt¨ onen, J.M.A.M

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.697875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.259948Z digest=sha256:e5159e1f7709508fb87399f17191ba45c93b4a3e4ed9910ed60405382907a8dd

Observation e74db7d9-cfe4-4078-abd9-09710446b4f7 · outbound

This paper cites A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.688947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.262713Z digest=sha256:53da6cb7349128da555db6ac6d1670fcf13b85acc7006e298290e8102daa6b78

Observation b27da926-9f03-4e51-a5de-55ddc8fc7296 · outbound

This paper cites Kim, K.-H.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Kim, K.-H

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.679798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.265404Z digest=sha256:6cf55d4fe51ce31607f30332f80f578f7e823774ad76373cb2672a112b5e6fcd

Observation 38492d69-ccf6-48c5-8481-e0287717b4da · outbound

This paper cites Kim, K.-H.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Kim, K.-H

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.669686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.268140Z digest=sha256:c293560c8be150565d4ba690179168d8cd4b20a82d095968f3155f5f96f8d14d

Observation 413a5e56-7b9d-4d87-8cd1-d83eca86614a · outbound

This paper cites Kim, On stochastic partial differential equations with variable coefficients in C1 do- mains, Stochastic Process.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Kim, On stochastic partial differential equations with variable coefficients in C1 do- mains, Stochastic Process

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.660622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.270969Z digest=sha256:6bc1688c6b758b008e24598df3f06a5d4dcf50b67e5ec27ea4cb713caa31be96

Observation 631d3be4-65bf-4b0a-bd93-4050bee62d6f · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:06:22.649824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.273779Z digest=sha256:66c856ca172a8a6858cefe254afab45f4806694fbff9409c769094cdb8f7b2c4

Observation cf7d53b8-5f8c-4ae5-b68b-a9a4310e31ea · outbound

This paper cites Kim, N.V.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Kim, N.V

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.639850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.276448Z digest=sha256:4ed21b8f0ca32579be0530cc595c1200551c96774a045279338c6662bc039028

Observation d73da5a8-c1a7-44e2-b1a1-611b6919464d · outbound

This paper cites Krylov, A W n 2 -theory of the Dirichlet problem for SPDEs in general smooth domains, Probab.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Krylov, A W n 2 -theory of the Dirichlet problem for SPDEs in general smooth domains, Probab

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.630787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.279160Z digest=sha256:085269dea2259c8f70dac81c11851ddc6483381e5d5c2511b26eadafef649d0e

Observation c320856b-48db-4f49-a427-4cd27d165c85 · outbound

This paper cites Krylov, Introduction to the Theory of Diffusion Processes, American Mathematical Society, Providence, RI, 1995.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Krylov, Introduction to the Theory of Diffusion Processes, American Mathematical Society, Providence, RI, 1995

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.620952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.282037Z digest=sha256:258caac48f356ffe778b527583d5cfa37c2ab9f391acf1bb043954d5ce739814

Observation c044f9f0-c669-4519-bb40-76e7d969bb67 · outbound

This paper cites Krylov, On Lp-theory of stochastic partial differential equations, SIAM J.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Krylov, On Lp-theory of stochastic partial differential equations, SIAM J

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.611199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.284840Z digest=sha256:ad40c26b8619fb3b0ca6fa5e2bf35c010ddd3306b6723888609899cf69fa58c1

Observation 8726e188-7c77-4eee-bc62-6a95126f3ba4 · outbound

This paper cites Krylov, An analytic approach to SPDEs in Stochastic Partial Differential Equations: Six perspectives, Mathematical Surveys and Monographs Vol.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Krylov, An analytic approach to SPDEs in Stochastic Partial Differential Equations: Six perspectives, Mathematical Surveys and Monographs Vol

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.601725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.287643Z digest=sha256:8e4be15ec04868906a2e6f47b5c3cc9b8a46a69909bb3338cfdf8b07413dce6c

Observation f4000514-dd29-4904-9601-cc1cb02902f2 · outbound

This paper cites Krylov, Weighted Sobolev spaces and Laplace’s equation and the heat equations in a half space, Commun.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Krylov, Weighted Sobolev spaces and Laplace’s equation and the heat equations in a half space, Commun

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-06T15:06:22.290528Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:06:22.290528Z digest=sha256:0bc4d80a921e2c14b21e80cf350c6222cf40edd62e052be58c552c75398b6c2b

Observation 982f7e56-33ec-4ec5-acef-2d620dc19073 · outbound

This paper cites Krylov, Some properties of traces for stochastic and deterministic parabolic weighted Sobolev spaces, J.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Krylov, Some properties of traces for stochastic and deterministic parabolic weighted Sobolev spaces, J

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.584489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.293538Z digest=sha256:727086c04f24ed63ff1b684174aee50b2122344cb230c699c185888bb131ca20

Observation 14534426-df0b-4c0c-af34-e4d9d4a8af99 · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:06:22.574643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.296256Z digest=sha256:5acbe06e8127dfe967164d107f6049b60245854b7730e4e883e6aed643846222

Observation e6992d53-9752-4bd2-8227-f5ca34d4c25c · outbound

This paper cites Krylov, Lectures on Elliptic and Parabolic Equations in Sobolev Spaces, American Mathematical Society, Providence, RI, 2008.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Krylov, Lectures on Elliptic and Parabolic Equations in Sobolev Spaces, American Mathematical Society, Providence, RI, 2008

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.565871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.298887Z digest=sha256:b71cca190a7682c2d8e22861fce783eeffa2eb88f3887a9a829e7abc55cdde6b

Observation a32ca33e-6764-48b7-841c-6daf5d4f2376 · outbound

This paper cites Krylov, On the Itˆ o-Wentzell formula for distribution-valued processes and related topics, Probab.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Krylov, On the Itˆ o-Wentzell formula for distribution-valued processes and related topics, Probab

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.555942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.301901Z digest=sha256:cbb26459ec80803ba8f8434a810ec4cc677675a67f19d57c8b6c1771a544aa01

Observation 9a15ed53-26b9-4e24-8b4b-1846a1f193fa · outbound

This paper cites Krylov, S.V.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Krylov, S.V

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-06T15:06:22.304680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:06:22.304680Z digest=sha256:fe8e0ebb4b43e2c0c049817dc8cb087e0b28e69cbdc2c6124f3f43a37ffe4f0b

Observation 51afd45f-8727-42d7-adb9-cc9eaaa73ba8 · outbound

This paper cites Lorist, M.C.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Lorist, M.C

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.540410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.307418Z digest=sha256:94c77567d7d3da7de3307bad743b6bdc2e0c922ded79890456f273d94e4aea91

Observation 05f7e09f-55ed-47a7-bd82-948d53264d07 · outbound

This paper cites Lototsky, Sobolev spaces with weights in domains and boundary value problems for degenerate elliptic equations, Methods.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Lototsky, Sobolev spaces with weights in domains and boundary value problems for degenerate elliptic equations, Methods

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.530731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.310642Z digest=sha256:9690de68b9de0fbbea46fca7ed679018cbd68213dc7828ff3fcb5786c8e2492b

Observation b906401c-a933-40a2-bd2a-059ae3729cd1 · outbound

This paper cites Magenes, J.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Magenes, J

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-06T15:06:22.313493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:06:22.313493Z digest=sha256:eb4b3082c5fbf529b443b7414f36fe917a407ecf817a835d6467f502d37ef60c

Observation 71fc96d9-45c5-4bde-a77a-95a221e65597 · outbound

This paper cites Mikuleviˇ cius, H.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Mikuleviˇ cius, H

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.514939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.316572Z digest=sha256:ca5eef81b561e0a447ffc4cba7a08eb4deb7602aa228b94c699ec8c68bb04f1a

Observation c8adc070-1f0e-4b88-9bb1-a6b044a9a2ca · outbound

This paper cites Mikuleviˇ cius, C.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Mikuleviˇ cius, C

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.505968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.319481Z digest=sha256:c2db2219881f03fc29e2f137fa1f50ae6ee291616a9f2e8422db377b28a47e5f

Observation a8d1d94d-736b-405a-bdb5-1a0274defdcb · outbound

This paper cites Mueller, Long time existence for the heat equation with a noise term, Probab.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Mueller, Long time existence for the heat equation with a noise term, Probab

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.496919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.322369Z digest=sha256:efe515eb85cf04fbd95e3c32dd9c5905dd673b1d3bf4f99bac567425181a2a64

Observation 5197f6c7-6735-4c1f-9cec-8c8e2a932ef5 · outbound

This paper cites Mueller, The critical parameter for the heat equation with a noise term to blow up in finite time, Ann.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Mueller, The critical parameter for the heat equation with a noise term to blow up in finite time, Ann

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.487648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.325056Z digest=sha256:7e9c5756069a5164d156e4e2d68ff192ac6ca142154061bb8bbcbcf786ee2de7

Observation 12a23fc7-fb8f-4931-a8cf-b717291096a4 · outbound

This paper cites van Neerven, M.C.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets van Neerven, M.C

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.478870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.327672Z digest=sha256:1ed59a2adad9a7cf31da5a5e096f8e7227d574bcb14117d24025b81287449855

Observation 439e398e-09a8-41c7-8221-ca5a157c21c0 · outbound

This paper cites Portal, M.C.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Portal, M.C

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.470219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.330361Z digest=sha256:844f3bfb7c0a73744cd5423851634dd2a1c4f2d11b0d45d851a0432881c1b468

Observation 94776e4d-68a3-42ab-b49d-1d5232d0f3c6 · outbound

This paper cites Ros-Oton, Nonlocal elliptic equations in bounded domains: a survey, Publ.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Ros-Oton, Nonlocal elliptic equations in bounded domains: a survey, Publ

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.461321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.333005Z digest=sha256:b055145e40af7cc5f5f5355295a4b5d35123e50736fbdc96ecd536b3d14a0487

Observation 1f69d99d-f330-4900-9975-d4edecf2f343 · outbound

This paper cites Ros-Oton, J.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Ros-Oton, J

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.452533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.335566Z digest=sha256:59998727ff0730fef5d4c21177c60189575503e68f830a2eccd46071b044eaa3

Observation 0e1c5051-dbb7-4772-975e-f87eb8b34322 · outbound

This paper cites Salins, Solutions to the stochastic heat equation with polynomially growing multiplicative noise do not explode in the critical regime, Ann.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Salins, Solutions to the stochastic heat equation with polynomially growing multiplicative noise do not explode in the critical regime, Ann

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.443445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.338686Z digest=sha256:bfa5aaf7c8cf7afa3e5cc8db3200d3c25fe5d93794ac79f1da16b2091aaede7d

Observation 6c948d57-c549-4e2b-b31a-64c7751d088e · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:06:22.432814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.341501Z digest=sha256:111bc956a97a0e0882fa37ef512d01593611cdcaa6f1298ff715bb4b2ef81cf4

Observation 0bc3c530-182a-466a-9afd-210dfe785828 · outbound

This paper cites Sobolev space theory for Poisson's and the heat equations in non-smooth domains via superharmonic functions and Hardy's inequality.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Sobolev space theory for Poisson's and the heat equations in non-smooth domains via superharmonic functions and Hardy's inequality

Reference 54

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:06:22.399823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.344121Z digest=sha256:b2d94933c1c499c69c09db0354c9860dafa0c1cbd87bf34cb5613e8dea83ff1b

Observation 4c11d874-f248-4e99-8986-a7c38a396ee7 · outbound

This paper cites Triebel, Theory of function spaces, reprint of 1983 edition, Modern Birkh¨ auser Classics, Birkh¨ auser/Springer Basel AG, Basel, 2010.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Triebel, Theory of function spaces, reprint of 1983 edition, Modern Birkh¨ auser Classics, Birkh¨ auser/Springer Basel AG, Basel, 2010

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.423775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.347192Z digest=sha256:321e31293b674250fc05da725c153156afae5e0100763e93cbd04642a2c8b0c1

Observation 918b4485-8dda-4084-a1e3-43492d296977 · outbound

This paper cites Dirichlet problem for supercritical nonlocal operators.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Dirichlet problem for supercritical nonlocal operators

Reference 56

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:06:22.385792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:06:22.349998Z digest=sha256:94112a23af3e114add63d7ef6bf5226ccbee8196a20b53552a583520a223d8c1

Pith citing papers

No inbound Pith citation observations are available.