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Paper Citation Record · LEDGER

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation

As of 12 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 0 inbound Pith citation observations for arXiv:2607.09023.

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

pith.paper-citation-record.v1
2607.09023 v1

Coverage vector

measured 59 of 59 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-13T00:55:35.955826Z

measured 59 of 59 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

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Reference resolution

59 of 59 outbound references displayed

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External citation measurements

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Outbound references

Observation f95dbc11-bab1-4e7b-a63d-690fa6e5cdad · outbound

This paper cites Arthur, D.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Arthur, D

Reference 1

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Observation 06ce5147-3cb0-4df0-bef9-b7d51ae04c45 · outbound

This paper cites B´ enyi, T.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation B´ enyi, T

Reference 2

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:63d27476777d5fe9b101698a7808f9aaad30211417b2e16d0fd47355a867b8a6

Observation 81905a02-34d0-41b0-b853-a31e6b9b9411 · outbound

This paper cites Bourgain,Fourier transform restriction phenomena for certain lattice subsets and applications to non- linear evolution equations, II.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Bourgain,Fourier transform restriction phenomena for certain lattice subsets and applications to non- linear evolution equations, II

Reference 3

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Observation 2097ef97-ddb1-48ec-9101-249e07205d8a · outbound

This paper cites Bourgain,Invariant measures for the 2D-defocusing nonlinear Schr¨ odinger equation, Comm.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Bourgain,Invariant measures for the 2D-defocusing nonlinear Schr¨ odinger equation, Comm

Reference 4

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:21144ed69a4d3d6a4ea6d5a76a4103d6cd9ba0002e1caa8b11230ef859a2c318

Observation a1ad4ea8-f670-4596-aa89-cbab473cb4bd · outbound

This paper cites Bourgain,Periodic Korteweg de Vries equation with measures as initial data, Selecta Math.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Bourgain,Periodic Korteweg de Vries equation with measures as initial data, Selecta Math

Reference 5

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Observation fa2bee6c-18c1-40f4-9d69-d12c91066307 · outbound

This paper cites Bringmann,Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlin- earity II: dynamics, J.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Bringmann,Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlin- earity II: dynamics, J

Reference 6

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Observation 30d4c3b0-f4a9-4f0c-8c2b-8a770ce0ba15 · outbound

This paper cites Bringmann, Y.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Bringmann, Y

Reference 7

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Observation e186c7d0-b7eb-4c6d-8bca-9aa1371d14e6 · outbound

This paper cites an unresolved cited work.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Unresolved cited work

Reference 8

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:ed57c84cbd527e1de047520a95229594e1a7f2e038a77b957cd3d99f5249f847

Observation cd567279-cf62-4db6-a2f2-874983134c54 · outbound

This paper cites Catellier, M.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Catellier, M

Reference 9

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Observation 956bd458-4c50-4793-812d-106c2f903cb6 · outbound

This paper cites Chapouto, M.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Chapouto, M

Reference 10

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Observation b8c233e0-f19e-47f4-b2c5-4d5ad5f6b5e4 · outbound

This paper cites Chapouto, J.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Chapouto, J

Reference 11

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Observation 8e24d6be-6ede-4c6a-85cd-641081a272e7 · outbound

This paper cites Fourier restriction norm method adapted to controlled paths: stochastic wave equations.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Fourier restriction norm method adapted to controlled paths: stochastic wave equations

Reference 12

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:2c228730dfc3d29c9f9c8e31172699f19bedf5f7c9208e02d70e602a63993c29

Observation 78b09cd9-a1e8-4014-a3f7-c1040b492749 · outbound

This paper cites Chapouto, J.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Chapouto, J

Reference 13

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Observation 2102944f-b18f-422f-85ba-af882b638b52 · outbound

This paper cites Chapouto, J.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Chapouto, J

Reference 14

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Observation 5ec8f337-3427-47ea-be0c-5ce054f0c40d · outbound

This paper cites Chouk, M.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Chouk, M

Reference 15

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Observation 0b3f66c1-819f-47fc-b05f-f8cfd1233cc7 · outbound

This paper cites Nonlinear PDEs with modulated dispersion II: Korteweg-de Vries equation.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Nonlinear PDEs with modulated dispersion II: Korteweg-de Vries equation

Reference 16

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:af241a6a1e12dc93a6fc0fe388a17abc5479d0f40579309d7bcafe6ed18acb9d

Observation fb8fbb42-f233-462a-9611-9506f56e35f7 · outbound

This paper cites Clarke, B.A.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Clarke, B.A

Reference 17

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:35f3ff2888480c5b2a719d63d56d9c59cae84198cdb543a0ca65bad5a7caa52c

Observation eee2c74c-6617-428e-bd7f-91f4f7629a65 · outbound

This paper cites Colliander, M.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Colliander, M

Reference 18

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:88a5aff99bdb3290d91145a11280d1b4d98c5f2e960f49b8af72edbbe5a20ec0

Observation 96693651-5895-4039-8e41-0f8e1ea2afda · outbound

This paper cites Colliander, T.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Colliander, T

Reference 19

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Observation 5ddbdb21-c1dc-4aa7-80a3-1be97b617f33 · outbound

This paper cites de Bouard, A.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation de Bouard, A

Reference 20

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Observation 64b306e5-f55a-42b7-85e7-217ae10fb783 · outbound

This paper cites Debussche, Y.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Debussche, Y

Reference 21

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Observation efb3e5e3-a9d2-4224-84be-6d6b68ae6eb2 · outbound

This paper cites Deng, A.R.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Deng, A.R

Reference 22

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Observation dbe3d585-ffce-4389-be23-081bcaa716cf · outbound

This paper cites Deng, A.R.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Deng, A.R

Reference 23

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Observation 3ddeb710-ad43-4302-b7b4-5f42e2855cbd · outbound

This paper cites Duboscq, A.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Duboscq, A

Reference 24

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Observation 4f5378e4-7ab4-4499-a605-f1d8504cb3c3 · outbound

This paper cites Flandoli, M.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Flandoli, M

Reference 25

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Observation 8b2b3469-8480-4811-b9c2-2e2ad4d5be27 · outbound

This paper cites Flandoli,Random perturbation of PDEs and fluid dynamic models, Lectures from the 40th Probability Summer School held in Saint-Flour, 2010.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Flandoli,Random perturbation of PDEs and fluid dynamic models, Lectures from the 40th Probability Summer School held in Saint-Flour, 2010

Reference 26

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Observation fadfb062-861e-444b-8a1d-14e8b5e2abc3 · outbound

This paper cites an unresolved cited work.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Unresolved cited work

Reference 27

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Observation 89227781-c114-446c-b66e-f40d69333d55 · outbound

This paper cites Galeati,Pathwise methods in regularisation by noise.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Galeati,Pathwise methods in regularisation by noise

Reference 28

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Observation 49abe6af-4cd6-4ddd-b337-535fc0855d0a · outbound

This paper cites Galeati,Nonlinear Young differential equations: a review, J.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Galeati,Nonlinear Young differential equations: a review, J

Reference 29

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Observation a51219e6-e286-4824-a320-bbc03b3dc0ed · outbound

This paper cites Galeati, M.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Galeati, M

Reference 30

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:7f637df5e31010a471278bfa7f46195218eb546b21b7f89cdc9d2e30f9c701e9

Observation 8b1232e4-2d85-44ea-bcbe-449dfb92f960 · outbound

This paper cites Galeati, M.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Galeati, M

Reference 31

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Observation d9a519b0-68f3-46fb-ae3b-1179281d64c0 · outbound

This paper cites Gess,Regularization and well-posedness by noise for ordinary and partial differential equations, Sto- chastic partial differential equations and related fields, 43–67.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Gess,Regularization and well-posedness by noise for ordinary and partial differential equations, Sto- chastic partial differential equations and related fields, 43–67

Reference 32

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Observation d2f9affe-646a-472e-8a7b-7eafc1ce2678 · outbound

This paper cites Gubinelli,Controlling rough paths, J.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Gubinelli,Controlling rough paths, J

Reference 33

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Observation 113534c8-f237-4ed9-8026-6f50ebccb634 · outbound

This paper cites Gubinelli, G.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Gubinelli, G

Reference 34

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Observation 9d9760a8-4e74-46b7-9132-9ca661326883 · outbound

This paper cites Gubinelli, H.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Gubinelli, H

Reference 35

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Observation d4c0bd11-c251-4e7d-b2f0-c3aa867a7f52 · outbound

This paper cites Gubinelli, S.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Gubinelli, S

Reference 36

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Observation 27fe951d-74cc-4487-889b-1c9f23178f11 · outbound

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Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Unresolved cited work

Reference 37

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Observation bd5c2b95-a051-4a2c-ab71-ea758b05f138 · outbound

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Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Unresolved cited work

Reference 38

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:ac70fea0fbd92f1b2a0678b59fc96673e2cdbf4f8b93724cd5c5c142a5a8d7c0

Observation 97072cc8-6762-4eea-8424-eff1e29faff9 · outbound

This paper cites Kappeler, P.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Kappeler, P

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:b152ae687a941c9eaebdbf05053d3ea492d39c265495b6f80ff539700adad705

Observation fcbe05fa-1892-4e33-85d9-4924f9103281 · outbound

This paper cites Kenig, G.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Kenig, G

Reference 40

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:6db8af8e33fd35b316aa19dd2681f68448105f0adbc8c02ff64b8c81b8ec5ce0

Observation 98bf784c-5b81-49e5-b135-6e0825fe666a · outbound

This paper cites Killip, M.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Killip, M

Reference 41

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unresolved
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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:aa4c80838f78cea4afcbd4b6f346489fce8cf628ac62ccecd740712a2df637dd

Observation 3781c9a1-e291-4269-bc4c-114b3395c3cd · outbound

This paper cites Molinet,Sharp ill-posedness results for the KdV and mKdV equations on the torus, Adv.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Molinet,Sharp ill-posedness results for the KdV and mKdV equations on the torus, Adv

Reference 42

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unresolved
no resolver link, observed 2026-07-13T00:55:35.955826Z

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:01edd15faced3c4383fab9e0245e99a700ce44dd8ce24ec7dd608dca1c01f74d

Observation 714471f4-f912-404c-82eb-7abf7fa312b3 · outbound

This paper cites Oh,Diophantine conditions in well-posedness theory of coupled KdV-type systems: local theory, Int.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Oh,Diophantine conditions in well-posedness theory of coupled KdV-type systems: local theory, Int

Reference 43

Resolution
unresolved
no resolver link, observed 2026-07-13T00:55:35.955826Z

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:e1dfd70522d14711a3c388c53c57d01c6416c481f90455858b971651abcea3cc

Observation f80f1da1-6124-48f3-9281-0728494bea8e · outbound

This paper cites Oh,Diophantine conditions in global well-posedness of coupled KdV-type systems, Electron.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Oh,Diophantine conditions in global well-posedness of coupled KdV-type systems, Electron

Reference 44

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:8737be193970420589fe64bbf473d3baef3976a8254664c111beec33a8e1bc1d

Observation 5e2d051e-b050-4c39-8b6b-88bdf6865eea · outbound

This paper cites Oh,Invariant Gibbs measures and a.s.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Oh,Invariant Gibbs measures and a.s

Reference 45

Resolution
unresolved
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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:e5e5dda39c3bb2c3db2b9b30e460680abc0d60bde3ce4a44148c9a38daf94ee4

Observation c81fe57d-440f-484f-947b-09618e15da1a · outbound

This paper cites an unresolved cited work.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Unresolved cited work

Reference 46

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unresolved
no resolver link, observed 2026-07-13T00:55:35.955826Z

Source-reported events for the cited work

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:030e1c4369dfbb0a2b211749ce8fe588ce4886d35d6a3006f9284083981055f3

Observation d98a79e7-afe4-4105-92eb-3dd5d48502f8 · outbound

This paper cites an unresolved cited work.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Unresolved cited work

Reference 47

Resolution
unresolved
no resolver link, observed 2026-07-13T00:55:35.955826Z

Source-reported events for the cited work

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:d20f7b1d391c1598c9a2717ccce0db18861f30cfb7b628d429eb9ca2e4039e10

Observation ed929695-0b81-4bee-9fb2-855fa4f481d8 · outbound

This paper cites an unresolved cited work.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Unresolved cited work

Reference 48

Resolution
unresolved
no resolver link, observed 2026-07-13T00:55:35.955826Z

Source-reported events for the cited work

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:8e733c0efd940edc15f6ec8356fd19bdef1ec601644d63db172b0c3ba1097f1f

Observation 5b81079d-2818-4df3-89f5-0db40c026717 · outbound

This paper cites an unresolved cited work.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Unresolved cited work

Reference 49

Resolution
unresolved
no resolver link, observed 2026-07-13T00:55:35.955826Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:a141d2a4a1e5c75eff6c3c87d76840867b6317e6ed04bc1367e8dda4e2966b54

Observation 3ff7274e-7e55-424e-b728-20a22d0f3b83 · outbound

This paper cites Pocovnicu,Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation onR d,d= 4and5, J.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Pocovnicu,Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation onR d,d= 4and5, J

Reference 50

Resolution
unresolved
no resolver link, observed 2026-07-13T00:55:35.955826Z

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:2ddc865f7899c1b0e36ae6cc7950140eb62245a2ca44f7c748702d59a5fb85fb

Observation aad6b241-117b-409b-b768-3fcffc1812da · outbound

This paper cites Robert,Regularization by noise for some nonlinear dispersive PDEs, Journ´ ees ´ equations aux d´ eriv´ ees partielles (2023), Talk no.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Robert,Regularization by noise for some nonlinear dispersive PDEs, Journ´ ees ´ equations aux d´ eriv´ ees partielles (2023), Talk no

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Resolution
unresolved
no resolver link, observed 2026-07-13T00:55:35.955826Z

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:f2f1cae4f515d0b0cd7d1af3f8338b771ee380e296dc26dec2c3f79fcb71dcf2

Observation 31c76dc4-1adc-458d-90fc-12a77cf1122c · outbound

This paper cites Remarks on nonlinear dispersive PDEs with rough dispersion management.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Remarks on nonlinear dispersive PDEs with rough dispersion management

Reference 52

Resolution
unresolved
no resolver link, observed 2026-07-13T00:55:35.955826Z

Source-reported events for the cited work

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:7c47f9396b0c6005b30595128748de862a96b96cb0c08901b06c3801ae62849c

Observation 14404a07-dc30-43a8-bf66-37c00e5a6c05 · outbound

This paper cites Regularization by noise for some strongly non-resonant modulated dispersive PDEs.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Regularization by noise for some strongly non-resonant modulated dispersive PDEs

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Resolution
unresolved
no resolver link, observed 2026-07-13T00:55:35.955826Z

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:d03c4b1952bc28301c39d1f86fa10835660f61baed8c17021ffa18c823a0f9d7

Observation 292fa08a-1b37-4a47-9d50-79712896ff6d · outbound

This paper cites Robert,On the Kadomtsev-Petviashvili equations with rough dispersion management, in preparation.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Robert,On the Kadomtsev-Petviashvili equations with rough dispersion management, in preparation

Reference 54

Resolution
unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:81c79a43437480fd2252bd32442be5cc6b39daa065fb7ad08bde89b55513592d

Observation 83e41a27-aa70-4def-b4dc-e259194b54ce · outbound

This paper cites Romito, L.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Romito, L

Reference 55

Resolution
unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:c968e092740b847d2e7d723244656ba77dcd1c5607edab64330f1f63263ef25e

Observation 5cd87a7f-e7ab-42b3-a21f-30db5637bf97 · outbound

This paper cites an unresolved cited work.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Unresolved cited work

Reference 56

Resolution
unresolved
no resolver link, observed 2026-07-13T00:55:35.955826Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:9a58c1d0273049aefac74982a4fc00f0f115f36b5abf49112a7ecff696197942

Observation 3ac03c9c-a8fe-44e3-b6af-a35dffe86ee8 · outbound

This paper cites Stewart,On the wellposedness of periodic nonlinear Schr¨ odinger equations with white noise dispersion, Stoch.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Stewart,On the wellposedness of periodic nonlinear Schr¨ odinger equations with white noise dispersion, Stoch

Reference 57

Resolution
unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:fe2715a42c5e186fd872c19d0555ce1b0e35660615651dd205674c8253b03f70

Observation d85320ff-600e-4f95-a7b2-5087b262a973 · outbound

This paper cites Remark on the local well-posedness for NLS with the modulated dispersion.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Remark on the local well-posedness for NLS with the modulated dispersion

Reference 58

Resolution
unresolved
no resolver link, observed 2026-07-13T00:55:35.955826Z

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source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:8c9d23d35d5d151c80e7f58a71f9405d1d446e0c40ec6841a2181e0aa9a8dbf4

Observation 92be736d-530e-47e9-b44b-fb96e9d3efbc · outbound

This paper cites Tzvetkov,Remark on the local ill-posedness for KdV equation, C.

Refined global well-posedness for the periodic modulated Korteweg-de Vries equation Tzvetkov,Remark on the local ill-posedness for KdV equation, C

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Resolution
unresolved
no resolver link, observed 2026-07-13T00:55:35.955826Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T00:55:35.955826Z digest=sha256:a65491345d2fd13bfa062c280d1a90c0d7d42dcea41deb33a6b676ef8a7ff948

Pith citing papers

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