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Paper Citation Record · LEDGER

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization

As of 16 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2508.13441.

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

pith.paper-citation-record.v1
2508.13441 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:25:44.901677Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T10:04:33.366026Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

38 of 38 outbound references displayed

  • verified exact2
  • verified fuzzy19
  • unresolved17
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3bc0d525-109b-4ffb-9f4c-a4cc46ae0a07 · outbound

This paper cites an unresolved cited work.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Unresolved cited work

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3d432f21-ef1f-40e8-b67e-519d13068c50 · outbound

This paper cites Barles and P.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Barles and P

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3031591f-8dd3-4b94-ab42-041958af20e2 · outbound

This paper cites an unresolved cited work.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Unresolved cited work

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0d300982-ae9c-49cf-9710-2ec1f75e6d50 · outbound

This paper cites Bella, B.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Bella, B

Reference 4

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5eb9d06a-e107-4ff6-b3f5-838f1eb53e66 · outbound

This paper cites Bergelson, A.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Bergelson, A

Reference 5

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 4a93c48b-c31b-4ae5-b1d8-f4a7302cb1f1 · outbound

This paper cites an unresolved cited work.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Unresolved cited work

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8b8319c8-25f9-4214-9238-7c943c08e442 · outbound

This paper cites an unresolved cited work.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Unresolved cited work

Reference 7

Resolution
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raw_fallback, observed 2026-08-15T17:25:45.570909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6ae66452-eb7a-46ec-84bf-ab0ce9546e81 · outbound

This paper cites an unresolved cited work.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:25:45.555985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:25:44.762139Z digest=sha256:824f230cf849c3560cc3828df7c3481cfc7d70d73a5568b7e855cb24dd844e4c

Observation ea7be89d-3d50-4dd0-8654-5bfaac66bd02 · outbound

This paper cites 2765--2804.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization 2765--2804

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:25:45.541472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:25:44.767693Z digest=sha256:171fb4806897bfb47ea0a9ccda77d5d48b0296a6c3fb9352868b6577ced8d99b

Observation 5c1829fb-5ba3-4db4-b416-2c4c8ce0e76e · outbound

This paper cites Craig, I.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Craig, I

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3895780e-3a26-4949-b2d4-8c9a3c0a94fe · outbound

This paper cites David and M.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization David and M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:25:45.513742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:25:44.777397Z digest=sha256:499af4fab55b295d92091d73b6787af7ce1f6b2dd327475df0a74cd53789f71f

Observation e659a7f0-c669-4f96-a69d-ede35306d130 · outbound

This paper cites an unresolved cited work.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:25:45.495424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:25:44.782076Z digest=sha256:f8ad054c4b32cf2f1615d602ece3970013027ef3d694d5a7c26db2f5d29acd7a

Observation f14ba4f8-0760-4598-8de1-0bc4d931074b · outbound

This paper cites Global well-posedness for the one-phase Muskat problem in 3D.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Global well-posedness for the one-phase Muskat problem in 3D

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-15T17:25:44.785658Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T17:25:44.785658Z digest=sha256:71023e2e3ecf9d76741eea7b392fc7dab1089c4af6cdb87085c5acd6c1ce445c

Observation 4cbc5d54-bdd7-405d-94ea-552853b4ad6e · outbound

This paper cites an unresolved cited work.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:25:45.476220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 1933d1e3-cd22-4f1a-b9b0-f5d7333730aa · outbound

This paper cites Escher and G.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Escher and G

Reference 15

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:25:44.795634Z digest=sha256:b587db102c2c0f738a67192474302c886cad5b738a577ff33b8ad6155466932e

Observation d5950db6-da91-465c-9785-14dab2ebf58d · outbound

This paper cites Figalli, X.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Figalli, X

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:25:45.440692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:25:44.800117Z digest=sha256:84aad72fb03cf58bd9923d78d9578362cfdedeb44f01b5d489f1b8d855ba04e1

Observation b29922b7-0889-4dcc-8b8c-910043e83440 · outbound

This paper cites Gil and F.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Gil and F

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:25:44.805738Z digest=sha256:89221dc2a8f035932209fe29d04f1b3dfa7b0402c5a25071caf8128a324295ac

Observation ae7b77e6-dcc4-4a54-9104-e9fc4fb5b0a1 · outbound

This paper cites Gu , High order correctors and two-scale expansions in stochastic homogenization , Probability Theory and Related Fields, 169 (2017), pp.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Gu , High order correctors and two-scale expansions in stochastic homogenization , Probability Theory and Related Fields, 169 (2017), pp

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 39598624-b0ce-48a6-8df4-cc68f3ff4fb5 · outbound

This paper cites an unresolved cited work.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:25:45.368965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 652117df-c14e-4e19-ae25-d02ce048bf18 · outbound

This paper cites Jacobs, I.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Jacobs, I

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:25:45.352674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:25:44.818733Z digest=sha256:4b39637ceea758e46a55c1640a7d8578a628b0f350624986f21a8840e145b420

Observation 71f08569-990c-4f64-acb7-4c99236fe9a3 · outbound

This paper cites Kallenberg , Foundations of modern probability , vol.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Kallenberg , Foundations of modern probability , vol

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-15T17:25:44.824254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T17:25:44.824254Z digest=sha256:4cc3ce107188472ffd86f390ce68350cd2a496e6ff147122fae74e65f318e476

Observation 12e24d44-9927-4302-8b8a-dfcd55561dac · outbound

This paper cites Kim , Uniqueness and existence results on the hele-shaw and the stefan problems , Archive for Rational Mechanics & Analysis, 168 (2003).

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Kim , Uniqueness and existence results on the hele-shaw and the stefan problems , Archive for Rational Mechanics & Analysis, 168 (2003)

Reference 22

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation de6d0dda-fd76-447f-8303-07344a40128a · outbound

This paper cites 161--184.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization 161--184

Reference 23

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c63488c9-2ead-4cf9-b5b2-96c43337d9bc · outbound

This paper cites an unresolved cited work.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:25:45.263635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6fe8eb9c-8339-4d73-a09f-f8fa535ca140 · outbound

This paper cites Kim and Y.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Kim and Y

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:25:45.250498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:25:44.842043Z digest=sha256:4b73fe34c40bf50265de410674fd4c4fc2ba4ed2dbc20986438c02da3a620d64

Observation 1ae5b7dc-1bed-4e56-9329-c692bff8464d · outbound

This paper cites an unresolved cited work.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:25:45.237820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ee36d83f-328b-4292-8c07-cde940d0fa94 · outbound

This paper cites an unresolved cited work.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:25:45.217082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3cd36750-b7cd-496f-b202-c0cfddf3fc75 · outbound

This paper cites 1177--1187.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization 1177--1187

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:25:45.201173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 49b7fd04-4ad9-47b9-a0a2-a82e169c0dc9 · outbound

This paper cites an unresolved cited work.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:25:45.186365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:25:44.859528Z digest=sha256:ca71b822fd84468dbf4da30d54839700cc802725088f24095841776dbfb48ab9

Observation a71ba000-299e-496a-9d00-661c585b5f53 · outbound

This paper cites an unresolved cited work.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:25:45.173635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:25:44.863181Z digest=sha256:17d3e10105ecc05b984ea20f00907c2f7fb02314aa40c7556da9b4bcb4f9bc48

Observation b353bc1b-acba-4bc7-a610-450cd4202ee8 · outbound

This paper cites Lin and A.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Lin and A

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:25:45.160395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:25:44.867205Z digest=sha256:1312bf9c77670895a24317986655b3fe77f741ad128117299e44542b05836dfe

Observation b9c3686c-bd9f-428c-a437-7bb15f214eb4 · outbound

This paper cites Maury, A.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Maury, A

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:25:45.146244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:25:44.871401Z digest=sha256:2fb45e4fbfaf0525e6ca9917f19c3744101d05c5a9de610848d2f19f80391780

Observation 02d37750-4b25-4200-b762-d85667f184ce · outbound

This paper cites an unresolved cited work.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:25:45.130052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:25:44.875597Z digest=sha256:9d84790bb125ce12c802025e1e6b270d2f835c8f74893debc7df36f0c0478ea4

Observation 525a35df-5bb1-4374-b62c-2d7ce1d81a74 · outbound

This paper cites Stochastic homogenization of a porous-medium type equation.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Stochastic homogenization of a porous-medium type equation

Reference 34

Resolution
verified exact
local_arxiv, observed 2026-08-15T17:25:45.061972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:25:44.879776Z digest=sha256:0bd507f536718b8ed041a0116b47fdad9a51589eff95098849d2bf2971fa80e0

Observation b0bcd1a5-447e-43f5-ac19-e984d702c078 · outbound

This paper cites Perthame, F.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Perthame, F

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:25:45.113352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:25:44.885119Z digest=sha256:3c3c3fc12c7fc319d49c70b675af91f4eacd32aa6b517380a870a609c640dd13

Observation 5fd7416a-85aa-4432-b286-8aa142b9d77e · outbound

This paper cites Well-posedness for viscosity solutions of the one-phase Muskat problem in all dimensions.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Well-posedness for viscosity solutions of the one-phase Muskat problem in all dimensions

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-15T17:25:44.890653Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T17:25:44.890653Z digest=sha256:d627d2961d8e46231caa0fa7ff5a957eeeaaeb1b7b5b076bca37cc364208b15b

Observation 6d453417-a5e4-4834-8016-db31d0ffa5eb · outbound

This paper cites Sulak and O.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Sulak and O

Reference 37

Resolution
verified exact
raw_fallback, observed 2026-08-15T17:25:45.017059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:25:44.895609Z digest=sha256:1982622832d101edbd129fc92122ca7142b76a67a8846130e04ab2cc58ab8ab9

Observation 14fc5964-f59d-4b85-a083-6b33d002de00 · outbound

This paper cites Wiener , The ergodic theorem , Duke Mathematical Journal, 5 (1939), pp.

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization Wiener , The ergodic theorem , Duke Mathematical Journal, 5 (1939), pp

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:25:45.093549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T17:25:44.901677Z digest=sha256:489aec04f03732c1357ca70b07bac9740cbf0cdf701fe1ec9b4f6bd9b6d06368

Pith citing papers

Observation a196e014-3d12-406c-b8b1-c2cf42dea9f5 · inbound

Well-posedness of a Hele-Shaw problem in general dimensions cites this paper.

Well-posedness of a Hele-Shaw problem in general dimensions A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-01T10:04:33.366026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:04:33.366026Z digest=sha256:77546b36b4446bf28d881e2d884ff1a5a0a6ea155c3b1a980d2eca0b33dc2c3f