Paper Citation Record · LEDGER

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension

As of 14 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 1 inbound Pith citation observation for arXiv:2606.12388.

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

pith.paper-citation-record.v1
2606.12388 v1

Coverage vector

measured 54 of 54 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-27T09:01:08.451174Z

measured 55 of 55 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:34:01.351487Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T04:34:01.907417Z

Reference resolution

54 of 54 outbound references displayed

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External citation measurements

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Outbound references

Observation d18360b2-4c6c-49d6-bf06-edc40db52fd7 · outbound

This paper cites Abels and B.-V.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Abels and B.-V

Reference 1

Resolution: verified exact; doi, observed 2026-06-27T10:30:52.030878Z

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Observation ee1d643c-cce5-4371-bebc-23b8cc8c2a73 · outbound

This paper cites Alazard, N.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Alazard, N

Reference 2

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Observation 8796e537-8b11-4935-922f-0fd3909c2104 · outbound

This paper cites Alazard, N.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Alazard, N

Reference 3

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Observation 6a780df3-2388-4185-af91-6fd233013bca · outbound

This paper cites Alazard and O.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Alazard and O

Reference 4

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Observation 47c6dcb5-2423-409e-9e47-c1497e94415b · outbound

This paper cites Alazard and Quoc-Hung Nguyen.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Alazard and Quoc-Hung Nguyen

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation 050cade8-93ad-457d-9a04-9a79ae97de97 · outbound

This paper cites author Galeati, L.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension author Galeati, L

Reference 6

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Observation 471d681d-fb52-421e-bb20-d35fbb9ff2f6 · outbound

This paper cites Alazard and Quoc-Hung Nguyen.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Alazard and Quoc-Hung Nguyen

Reference 7

Resolution: verified exact; doi, observed 2026-06-27T10:30:52.032512Z

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Observation c5643887-545e-474c-a876-d6e7d2279637 · outbound

This paper cites Alazard and Quoc-Hung Nguyen.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Alazard and Quoc-Hung Nguyen

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation 65475d89-695b-4f77-ac90-70a4de292b23 · outbound

This paper cites an unresolved cited work.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Unresolved cited work

Reference 9

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Observation e97620a4-ee02-4d9b-9f2d-3bb9322861fa · outbound

This paper cites an unresolved cited work.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Unresolved cited work

Reference 10

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Observation 257d5b5f-01c7-4650-9775-3e897317ff97 · outbound

This paper cites Bahouri , J.-Y.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Bahouri , J.-Y

Reference 11

Resolution: verified exact; doi, observed 2026-06-27T10:30:52.034096Z

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Observation 8557123e-1d7f-4684-9bb3-2cde11805cec · outbound

This paper cites an unresolved cited work.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Unresolved cited work

Reference 12

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Observation 85e2beb8-e514-44b3-a57a-769cdeac9a6e · outbound

This paper cites PDE, 12(4):997–1022, 2019.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension PDE, 12(4):997–1022, 2019

Reference 13

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Observation 9481463e-90db-4743-a943-0d8abe9c6752 · outbound

This paper cites Global wellposedness for the 3D Muskat problem with medium size slope.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Global wellposedness for the 3D Muskat problem with medium size slope

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:18:07.217829Z

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Observation 4ddea60c-81da-4289-b181-089e8e56faee · outbound

This paper cites Cameron, K.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Cameron, K

Reference 15

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Observation 96fd007c-a88f-4cad-9d51-4156462896fc · outbound

This paper cites Castro, D.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Castro, D

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation 6ff1dafd-8046-401e-a07b-5b10f1569734 · outbound

This paper cites Castro, D.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Castro, D

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation 2e0c5730-5cc3-4946-b7a7-7f657a8e07a2 · outbound

This paper cites Chen, Quoc-Hung Nguyen and Y.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Chen, Quoc-Hung Nguyen and Y

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation 220657f3-47fd-4de4-b47c-b059107a840a · outbound

This paper cites Schauder-type Estimates and Well-posedness for Nonlocal Quasilinear Evolution Equations in Fluid Dynamics.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Schauder-type Estimates and Well-posedness for Nonlocal Quasilinear Evolution Equations in Fluid Dynamics

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-07-03T12:18:07.223473Z

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Observation e25ce14d-d5ca-41a0-bb60-b34ac64fd94b · outbound

This paper cites an unresolved cited work.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation 51936b0c-13eb-4533-9454-7e79947f27b7 · outbound

This paper cites Constantin, D.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Constantin, D

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation 533ac9e9-e810-4f3a-8e13-1bcf9495e5e4 · outbound

This paper cites Constantin, D.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Constantin, D

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation e82ae379-3b11-470b-8315-807079a59a6b · outbound

This paper cites Constantin, F.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Constantin, F

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation 1386aa3b-9547-402a-9264-dc446478d08b · outbound

This paper cites Constantin, M.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Constantin, M

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation 03f8e39a-0244-460e-9151-215e538ee440 · outbound

This paper cites C´ ordoba and F.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension C´ ordoba and F

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation 432d5987-2d00-418b-af69-2edcbc1a0ebf · outbound

This paper cites C´ ordoba and F.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension C´ ordoba and F

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation a745f774-0822-43bd-a06d-460211b8fd8d · outbound

This paper cites C´ ordoba, D.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension C´ ordoba, D

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation c8199447-62d4-4687-a4fa-b891f3e56357 · outbound

This paper cites C´ ordoba, D.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension C´ ordoba, D

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation e04e01af-79ea-429f-979b-be0e9d4e1880 · outbound

This paper cites C´ ordoba and O.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension C´ ordoba and O

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation 2b6927f2-c118-42d8-95f9-fc27781c81e3 · outbound

This paper cites an unresolved cited work.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Unresolved cited work

Reference 30

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Observation d2d14456-5538-4141-92ab-e7b7e3a043ca · outbound

This paper cites an unresolved cited work.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation 273e53a6-e243-4eb4-9239-e095ba48b51d · outbound

This paper cites Arendt, A.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Arendt, A

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-06-27T10:30:52.036361Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 26d7de68-b1eb-410f-b49a-9bcc83a7eab7 · outbound

This paper cites an unresolved cited work.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation 0e364e64-d37e-4738-a28f-3e2be1e6af42 · outbound

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

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Global well-posedness for the one-phase Muskat problem in 3D

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-08-04T00:30:00.203638Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6937b22a-93b3-439e-a323-1a2b340c446e · outbound

This paper cites Global well-posedness of the one-phase Muskat problem with surface tension.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Global well-posedness of the one-phase Muskat problem with surface tension

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-07-03T12:18:07.212976Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4a034d05-957c-4df6-8176-70f943245583 · outbound

This paper cites Escher, A.-V.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Escher, A.-V

Reference 36

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Observation 17306769-5994-4681-855c-809c8b554815 · outbound

This paper cites Gancedo and O.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Gancedo and O

Reference 37

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Observation 944d5d31-4c53-4566-af9d-affff21dd4ae · outbound

This paper cites Gancedo, E.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Gancedo, E

Reference 38

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Observation a4c31d2f-7086-4b71-8b53-5f6187da5484 · outbound

This paper cites Garc´ ıa-Ju´ arez, J.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Garc´ ıa-Ju´ arez, J

Reference 39

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation b0560cc6-06d2-4a1b-b0de-fe8511c3f347 · outbound

This paper cites Garc´ ıa-Ju´ arez, J.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Garc´ ıa-Ju´ arez, J

Reference 40

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation a147b683-14de-4036-9f45-95e495b361ce · outbound

This paper cites an unresolved cited work.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation 91b8658c-3fea-48e2-a8be-1ce76dc807d4 · outbound

This paper cites Granero-Belinch´ on and O.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Granero-Belinch´ on and O

Reference 42

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation bb34d306-0d3d-4e12-a7fd-9c6eafda20a1 · outbound

This paper cites Global well-posedness of arbitrarily large Lipschitz solutions for the Muskat problem with surface tension.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Global well-posedness of arbitrarily large Lipschitz solutions for the Muskat problem with surface tension

Reference 43

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:18:07.203838Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a241d6fd-eaf7-407c-acae-beef208c11f6 · outbound

This paper cites an unresolved cited work.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Unresolved cited work

Reference 44

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation f320ba40-6f47-4d3e-86da-5adf5c276d21 · outbound

This paper cites an unresolved cited work.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation 2a05b5a9-da72-4737-90c2-83a79b41d8dc · outbound

This paper cites Matioc, B.-V.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Matioc, B.-V

Reference 46

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation fa816771-a6b4-421b-8164-0469ad47df7e · outbound

This paper cites an unresolved cited work.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Unresolved cited work

Reference 47

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Observation 118df168-547e-4c60-8856-151a4a442a93 · outbound

This paper cites On well-posedness of the Muskat problem with surface tension.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension On well-posedness of the Muskat problem with surface tension

Reference 48

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation 0a8ff7d4-5ba0-4cda-9d61-a5f651a55684 · outbound

This paper cites an unresolved cited work.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Unresolved cited work

Reference 49

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation be42dc32-2696-480e-974b-020ef7df3cdf · outbound

This paper cites Global solutions for the Muskat problem in the scaling invariant Besov space ˙B1 ∞,1.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Global solutions for the Muskat problem in the scaling invariant Besov space ˙B1 ∞,1

Reference 50

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Observation 9b7a699a-cc71-47b4-9b14-ee0d9ebf1578 · outbound

This paper cites Siegel, R.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Siegel, R

Reference 51

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Observation dc05ca86-7c75-4d35-aaed-325f229b0c7d · outbound

This paper cites Wan and J.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Wan and J

Reference 52

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:18:07.207755Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation baab4040-eece-4667-8729-3f76260986f4 · outbound

This paper cites an unresolved cited work.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Unresolved cited work

Reference 53

Resolution: unresolved; no resolver link, observed 2026-06-27T09:01:08.451174Z

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Observation 4421cf15-ab59-4e40-aabd-1a7edc58d6c1 · outbound

This paper cites an unresolved cited work.

Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension Unresolved cited work

Reference 54

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Pith citing papers

Observation af4a7a64-f69f-400a-b5eb-33c3f9f2b173 · inbound

Well-posedness for the mean curvature flow on the half-space and on bounded domains cites this paper.

Well-posedness for the mean curvature flow on the half-space and on bounded domains Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:34:01.911594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.