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Paper Citation Record · LEDGER

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients

As of 12 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:2509.02286.

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

pith.paper-citation-record.v1
2509.02286 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-18T20:04:37.808888Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

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

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-22T12:16:58.189836Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-22T12:21:31.385391Z

Reference resolution

41 of 41 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 360b7255-13dd-4878-b81d-0ec5b98ef649 · outbound

This paper cites Abramowitz, I.A.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Abramowitz, I.A

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 6903c362-47e4-4a3b-a94a-fb54f5c03d76 · outbound

This paper cites Elliptic and parabolic equations with rough boundary data in Sobolev spaces with degenerate weights.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Elliptic and parabolic equations with rough boundary data in Sobolev spaces with degenerate weights

Reference 2

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 0387c50c-a873-4c59-b0e3-e3842ecfb402 · outbound

This paper cites an unresolved cited work.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Unresolved cited work

Reference 3

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 09a29351-d138-4841-818f-1b299702bacd · outbound

This paper cites Daskalopoulos and R.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Daskalopoulos and R

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 25075c77-0426-4642-911f-d582ce522e4d · outbound

This paper cites Dong, Solvability of second-order equations with hierarchically partially BMO coefficients, Trans.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Dong, Solvability of second-order equations with hierarchically partially BMO coefficients, Trans

Reference 5

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 20721840-0db3-4c18-b3a4-f942b54d0dd4 · outbound

This paper cites Dong, Recent progress in the Lp theory for elliptic and parabolic equations with discon- tinuous coefficients, Anal.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Dong, Recent progress in the Lp theory for elliptic and parabolic equations with discon- tinuous coefficients, Anal

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 13862db5-af1d-493d-957d-57cc1be79566 · outbound

This paper cites an unresolved cited work.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Unresolved cited work

Reference 7

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation b26ab763-1815-4dec-b524-36ccfcab08e8 · outbound

This paper cites an unresolved cited work.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Unresolved cited work

Reference 8

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 949fe2ad-919d-455c-a62d-577e811c72d3 · outbound

This paper cites an unresolved cited work.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Unresolved cited work

Reference 9

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 68022dc9-1fa1-4ba7-8f4d-0d44ceb2c732 · outbound

This paper cites an unresolved cited work.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Unresolved cited work

Reference 10

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Observation 30d220fa-786b-4fc3-af8f-6bd3b05092c6 · outbound

This paper cites an unresolved cited work.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Unresolved cited work

Reference 11

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Observation ed053bdf-b8b5-4e95-9319-56881fb99c6f · outbound

This paper cites an unresolved cited work.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Unresolved cited work

Reference 12

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Observation c0e9a37d-0222-4ed4-9aed-6785c0dd4974 · outbound

This paper cites an unresolved cited work.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Unresolved cited work

Reference 13

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Observation 165554a9-1af7-4b57-b0dc-48505fe41b62 · outbound

This paper cites an unresolved cited work.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Unresolved cited work

Reference 14

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Observation c324212e-5bb9-4a9e-b196-f78f64afee56 · outbound

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On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Unresolved cited work

Reference 15

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 34e80046-11d8-424b-ba1a-02ff1c242885 · outbound

This paper cites an unresolved cited work.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Unresolved cited work

Reference 16

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Observation cf7201a0-e80b-4369-82bb-8ed8e48135cc · outbound

This paper cites Fornaro, G.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Fornaro, G

Reference 17

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation c1f864e6-bd38-4e3c-9021-2191aad3ec05 · outbound

This paper cites Fornaro, G.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Fornaro, G

Reference 18

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 264d0849-9abf-4c94-a6a6-0d763d6efc65 · outbound

This paper cites Graham, J.M.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Graham, J.M

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 69f27287-4f66-4e7f-a300-4859a60ec649 · outbound

This paper cites Optimal Boundary Regularity for Uniformly Degenerate Elliptic Equations.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Optimal Boundary Regularity for Uniformly Degenerate Elliptic Equations

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-05-18T20:06:50.024095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 3b92ca9a-796e-42be-973d-ad90fe306e5d · outbound

This paper cites Global Schauder Regularity and Convergence for Uniformly Degenerate Parabolic Equations.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Global Schauder Regularity and Convergence for Uniformly Degenerate Parabolic Equations

Reference 21

Resolution
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arxiv_id, observed 2026-05-18T20:06:50.012935Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation f3c5ed7b-6b42-4287-8b3e-6c6ada32acb1 · outbound

This paper cites Kim, Sobolev space theory of parabolic equations degenerating on the boundary of C1 domains, Commun.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Kim, Sobolev space theory of parabolic equations degenerating on the boundary of C1 domains, Commun

Reference 22

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 6f17048f-eb54-453c-85d0-0509063e3525 · outbound

This paper cites Kim, N.V.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Kim, N.V

Reference 23

Resolution
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 95fbd1c9-8749-49e8-9a62-36d4d7dab561 · outbound

This paper cites an unresolved cited work.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Unresolved cited work

Reference 24

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raw_fallback, observed 2026-05-18T20:06:51.328853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 3e339b94-eff4-4b69-b82a-e72320b99137 · outbound

This paper cites Koch, Non-Euclidean singular integrals and the porous medium equation, Habilitation Thesis, University of Heidelberg.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Koch, Non-Euclidean singular integrals and the porous medium equation, Habilitation Thesis, University of Heidelberg

Reference 25

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raw_fallback, observed 2026-05-18T20:06:51.306262Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 083399aa-c465-47b6-80ae-1d72f0ddabbe · outbound

This paper cites Kozlov, A.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Kozlov, A

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T20:06:51.309281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 263eaca8-b1a4-476c-bad1-73c0f282c33e · outbound

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

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Krylov, A W n 2 -theory of the Dirichlet problem for SPDEs in general smooth domains, Probab

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T20:06:51.312489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 9fa33bfd-e6be-4017-8eb7-af8d8917dd0f · outbound

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

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Krylov, Weighted Sobolev spaces and Laplace’s equation and the heat equations in a half space, Commun

Reference 28

Resolution
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raw_fallback, observed 2026-05-18T20:06:51.316012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation bd253ba7-597a-46b9-924e-e6f255d851ee · outbound

This paper cites Krylov, Parabolic and elliptic equations with VMO coefficients, Commun.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Krylov, Parabolic and elliptic equations with VMO coefficients, Commun

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T20:06:51.319370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation b9433839-5023-4303-a27d-1a3e862e4c7a · outbound

This paper cites Krylov,, On parabolic equations in one space dimension, Commun.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Krylov,, On parabolic equations in one space dimension, Commun

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T20:06:51.335231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-18T20:04:37.808888Z digest=sha256:2a60bf1b0844bd0b05a35a87d359c9e51e81a48c3f0d3c020e3c3eb643fc993a

Observation 154aca45-4093-4472-8a9e-04f39dfb4a08 · outbound

This paper cites Krylov, S.V.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Krylov, S.V

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T20:06:51.344691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 37a08c92-91ea-4102-92c1-7bdf37bb7042 · outbound

This paper cites Krylov, S.V.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Krylov, S.V

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T20:06:51.294475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 6eafd448-5b09-4aab-a378-d0e3ca100e8a · outbound

This paper cites Kufner, Weighted Sobolev Spaces, A Wiley–Interscience Publication, John Wiley & Sons Inc., New York, 1985 (translated from the Czech).

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Kufner, Weighted Sobolev Spaces, A Wiley–Interscience Publication, John Wiley & Sons Inc., New York, 1985 (translated from the Czech)

Reference 33

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raw_fallback, observed 2026-05-18T20:06:51.297587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 8aff6473-27fb-4e83-a20b-894b5d34544b · outbound

This paper cites an unresolved cited work.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Unresolved cited work

Reference 34

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raw_fallback, observed 2026-05-18T20:06:51.300395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation f0357fdf-f373-4084-a947-e0a5e6e92ab8 · outbound

This paper cites Lindemulder, E.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Lindemulder, E

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T20:06:51.302901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-18T20:04:37.808888Z digest=sha256:b0143effd7a7cece975efd0076dada095773eb7abc4560a2c22a569e827a0fee

Observation bf852a4b-0c24-445c-bf06-d4256920634b · outbound

This paper cites Magenes, J.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Magenes, J

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T20:06:51.286233Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-18T20:04:37.808888Z digest=sha256:1b0159c62ee7d6c55b120eefafa4f4152a5be94f53ba32828ed3875647d7591f

Observation fcfa7d5a-4b33-4402-ba1f-a67f33a4202f · outbound

This paper cites Metafune, L.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Metafune, L

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T20:06:51.289009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-18T20:04:37.808888Z digest=sha256:ad0a37883a789dc959faa32c5cb55637d232bb5320a94b373c5a4310e69c1549

Observation b6551bd1-eba9-4cbc-8c0e-511424e86958 · outbound

This paper cites Metafune, L.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Metafune, L

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T20:06:51.291837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-18T20:04:37.808888Z digest=sha256:1d5369fa956ec71d59ff305ca452cd731bef69e20107386ab173f47a5392b928

Observation 649c4cee-61e4-4653-8f6f-181dca9c13f9 · outbound

This paper cites Seo, Sobolev space theory for Poisson’s equation in non-smooth domains via superharmonic functions and Hardy’s inequality (2024).

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Seo, Sobolev space theory for Poisson’s equation in non-smooth domains via superharmonic functions and Hardy’s inequality (2024)

Reference 39

Resolution
verified exact
arxiv_id, observed 2026-05-18T20:06:50.007711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-18T20:04:37.808888Z digest=sha256:b5fb4841113f5a1a227b864db35e25d29cca9d34e000d762bf809fb3c0720df6

Observation d77d144b-ffa3-4463-9b1b-06eb545b3a9d · outbound

This paper cites Vespri, Analytic semigroups, degenerate elliptic operators and applications to nonlinear Cauchy problems, Ann.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Vespri, Analytic semigroups, degenerate elliptic operators and applications to nonlinear Cauchy problems, Ann

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T20:06:51.348098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-18T20:04:37.808888Z digest=sha256:350082be25f2e23aacac2e86d96dcc8b9fdd23b81ff2185c07682b071af3d2f9

Observation 5c660d36-0104-4a26-a01f-c42f7f468446 · outbound

This paper cites Optimal regularity for degenerate parabolic equations on a flat boundary.

On nondivergence form linear parabolic and elliptic equations with degenerate coefficients Optimal regularity for degenerate parabolic equations on a flat boundary

Reference 41

Resolution
verified exact
arxiv_id, observed 2026-05-18T20:06:50.018610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-18T20:04:37.808888Z digest=sha256:5d18dd236fe4863f913bfde6ae1588bbd27d815bc9d8e93645dcaedad353e936

Pith citing papers

Observation 79b5e905-d3d1-4c6c-880d-b8ddc6d07259 · inbound

Singular-degenerate parabolic systems with the conormal boundary condition on the upper half space cites this paper.

Singular-degenerate parabolic systems with the conormal boundary condition on the upper half space On nondivergence form linear parabolic and elliptic equations with degenerate coefficients

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-05-22T12:21:31.388182Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-22T12:16:58.189836Z digest=sha256:83c6c2a8394cc9a6c01c1dd93cb5c17d45ea15038c8cacb9affc2223495b7658