Paper Citation Record · LEDGER

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG

As of 21 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2502.06357.

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pith.paper-citation-record.v1
2502.06357 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T15:54:19.456757Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T18:46:50.874792Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T18:46:51.438656Z

Reference resolution

37 of 37 outbound references displayed

verified exact2
verified fuzzy28
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External citation measurements

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Outbound references

Observation 49ae7628-7da4-4a06-8510-85d370d96005 · outbound

This paper cites Existence of solutions to fluid equations in Hölder and uniformly local Sobolev spaces.Journal of Differential Equations, volume 364, pages 107-151 (2023).

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Existence of solutions to fluid equations in Hölder and uniformly local Sobolev spaces.Journal of Differential Equations, volume 364, pages 107-151 (2023)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:20.022365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3afe7e2f-f529-4d29-8d13-e2267ac73dda · outbound

This paper cites Vorticity and incompressible flow.Cambridge texts in applied mathematics.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Vorticity and incompressible flow.Cambridge texts in applied mathematics

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:20.009599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 615467d4-be47-4b74-a22e-08b741f69ea5 · outbound

This paper cites Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.997032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a11e17df-2c1e-4430-b233-60f052a4587d · outbound

This paper cites Strong illposedness of the incompressible Euler equation in integerC m spaces.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Strong illposedness of the incompressible Euler equation in integerC m spaces

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.984169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f4218062-27d3-4cf6-888e-ac7e53c30f80 · outbound

This paper cites Nonuniqueness of weak solutions to the SQG equation.Comm.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Nonuniqueness of weak solutions to the SQG equation.Comm

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.971378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation df4f98f3-c0e6-40dc-a88d-a1095a63f563 · outbound

This paper cites Non-uniqueness up to the Onsager threshold for the forced SQG equation.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Non-uniqueness up to the Onsager threshold for the forced SQG equation

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-08T15:54:19.329838Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 333f20c8-e5ac-4a34-a5db-6b32042fc13c · outbound

This paper cites Global smooth solutions for the inviscid SQG equation.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Global smooth solutions for the inviscid SQG equation

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.959358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ed725c9d-08e8-4f56-922e-52d219174afb · outbound

This paper cites Uniformly rotating smooth solutions for the incompressible 2D Euler equations .Arch.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Uniformly rotating smooth solutions for the incompressible 2D Euler equations .Arch

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.947430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8db295cc-427f-47a4-92cc-7aa651375fa4 · outbound

This paper cites Generalized surface quasi-geostrophic equations with singular velocities.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Generalized surface quasi-geostrophic equations with singular velocities

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.935562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d66cd33b-bdef-4390-8f4f-c5b16faef046 · outbound

This paper cites Inviscid models generalizing the 2D Euler and the surface quasi- geostrophic equations.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Inviscid models generalizing the 2D Euler and the surface quasi- geostrophic equations

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.923741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f09c4ead-7810-460d-a0ff-fcf1331da294 · outbound

This paper cites Illposedness via degenerate dispersion for generalized surface quasi-geostrophic equations with singular velocities.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Illposedness via degenerate dispersion for generalized surface quasi-geostrophic equations with singular velocities

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-08T15:54:19.640060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 05823d1f-e749-4fba-aedb-c05a6586c31b · outbound

This paper cites Logarithmically regularized inviscid models in borderline Sobolev spaces.J.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Logarithmically regularized inviscid models in borderline Sobolev spaces.J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.911694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d7db936b-f393-4675-be47-0e9efd4fc479 · outbound

This paper cites Non-uniqueness of steady-state weak solutions to the surface quasi- geostrophic equations.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Non-uniqueness of steady-state weak solutions to the surface quasi- geostrophic equations

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.898409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 55fdc4f7-ea9d-46d7-9b33-ae9b0c82a050 · outbound

This paper cites On well/ill-posedness for the generalized surface quasi-geostrophic equations in H\"older spaces.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG On well/ill-posedness for the generalized surface quasi-geostrophic equations in H\"older spaces

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-08T15:54:19.621067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 996c5488-45e8-4a56-bb6d-ce309bbfa01f · outbound

This paper cites Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.885037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 85d69864-d9f3-48b0-9352-f9d7762ad77e · outbound

This paper cites Non existence and strong ill-posedness inC k and Sobolev spaces for SQG.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Non existence and strong ill-posedness inC k and Sobolev spaces for SQG

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.871740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f7f5efb7-4de8-4b99-b02b-e1481175f1b9 · outbound

This paper cites Non existence and strong ill-posedness inC k,β for the generalized surface quasi-geostrophic equation.Commun.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Non existence and strong ill-posedness inC k,β for the generalized surface quasi-geostrophic equation.Commun

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.858950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 85cdfab9-418a-4740-8d3a-63744d98eee3 · outbound

This paper cites Instantaneous continuous loss of regularity for the SQG equation.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Instantaneous continuous loss of regularity for the SQG equation

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-08T15:54:19.378457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3117d641-550f-45de-9da1-1021395b80e9 · outbound

This paper cites Instantaneous gap loss of Sobolev regularity for the 2D incompressible Euler equations.Duke Math.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Instantaneous gap loss of Sobolev regularity for the 2D incompressible Euler equations.Duke Math

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.846403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation af167998-a013-4902-bf96-978240404a81 · outbound

This paper cites Non-unique stationary solutions of forced SQG.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Non-unique stationary solutions of forced SQG

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-08T15:54:19.391060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 617611bb-ef02-4d1a-a1c5-dc1e6d022755 · outbound

This paper cites Non-unique weak solutions of forced SQG.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Non-unique weak solutions of forced SQG

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-08T15:54:19.395539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f37d09a1-1a20-4343-a3d9-c2e9431c4c4a · outbound

This paper cites An Onsager-type theorem for SQG.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG An Onsager-type theorem for SQG

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-08T15:54:19.399552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b2eeef1-59d3-4645-b46b-650bc426e0c0 · outbound

This paper cites Hitchhiker’s guide to the fractional Sobolev spaces.Bulletin des Sciences Mathématiques, vol 136, number 5, pag 521-573, 2012.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Hitchhiker’s guide to the fractional Sobolev spaces.Bulletin des Sciences Mathématiques, vol 136, number 5, pag 521-573, 2012

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.834624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a92d9b2f-87bb-405f-8927-a08658bff568 · outbound

This paper cites GlobalH 1 ∩ ˙H −1 solutions to a logarithmically regularized 2D Euler equation.Journal of Mathematical Fluid Mechanics, 17(1):1–7, 2015.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG GlobalH 1 ∩ ˙H −1 solutions to a logarithmically regularized 2D Euler equation.Journal of Mathematical Fluid Mechanics, 17(1):1–7, 2015

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.822244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 51fcab4c-4424-484e-a3ac-7e507ce12084 · outbound

This paper cites an unresolved cited work.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-08T15:54:19.808976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6a34661c-c2a7-4217-9cf3-47dcc49a4e23 · outbound

This paper cites Smooth Travelling-Wave Solutions to the Inviscid Surface Quasi-Geostrophic Equation.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Smooth Travelling-Wave Solutions to the Inviscid Surface Quasi-Geostrophic Equation

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.797417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f47cee3a-c05a-4d0b-b406-41b1d3b7ad4d · outbound

This paper cites Small scale creation for solutions of the SQG equation.Duke Math.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Small scale creation for solutions of the SQG equation.Duke Math

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.785189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3b9463cf-fbf4-4a36-94fc-2d033848abe8 · outbound

This paper cites A direct approach to nonuniqueness and failure of compactness for the SQG equation.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG A direct approach to nonuniqueness and failure of compactness for the SQG equation

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.772863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation beea9588-ef05-4dff-a4b5-cbaba8e69ed5 · outbound

This paper cites A proof of Onsager's Conjecture for the SQG equation.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG A proof of Onsager's Conjecture for the SQG equation

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-08T15:54:19.428224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1dd48349-20ac-47b1-924f-d6cfa758ed9e · outbound

This paper cites Strong illposedness for SQG in critical Sobolev spaces.Analysis and PDE.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Strong illposedness for SQG in critical Sobolev spaces.Analysis and PDE

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.760721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 35c7ce9a-59da-4345-93c5-9b2e7dfb5780 · outbound

This paper cites On local well-posedness of logarithmic inviscid regularizations of generalized SQG equations in borderline Sobolev spaces.Communications on pure and applied analysis.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG On local well-posedness of logarithmic inviscid regularizations of generalized SQG equations in borderline Sobolev spaces.Communications on pure and applied analysis

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.748451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bdac505e-7e72-4674-86c5-da4051c21fb7 · outbound

This paper cites A simple energy pump for the periodic 2D surface quasi-geostrophic equation.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG A simple energy pump for the periodic 2D surface quasi-geostrophic equation

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.735324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1496a538-3790-4431-868e-193ad5f6d4ef · outbound

This paper cites Strong ill-posedness of logarithmically regularized 2D Euler equations in the borderline Sobolev Space.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Strong ill-posedness of logarithmically regularized 2D Euler equations in the borderline Sobolev Space

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.721648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation aa2f4036-8f23-44dc-8953-58ab6a85f2f8 · outbound

This paper cites On Kato–Ponce and fractional Leibniz.Rev.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG On Kato–Ponce and fractional Leibniz.Rev

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.707891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4202b016-58c7-4c57-a722-2ffdeb3c69a5 · outbound

This paper cites Dynamical problems in non-linear advective partial differential equations.PhD thesis, University of Chicago, Department of Mathematics, 1995.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Dynamical problems in non-linear advective partial differential equations.PhD thesis, University of Chicago, Department of Mathematics, 1995

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.694139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b0be9ede-c12d-4818-b766-b17c29d8196e · outbound

This paper cites Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.679624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1977949d-681c-4473-90e0-046cf8d096b8 · outbound

This paper cites Solutions of the 2D quasi-geostrophic equation in Hölder spaces.Nonlinear Analysis 62 (2005) 579 – 594.

Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG Solutions of the 2D quasi-geostrophic equation in Hölder spaces.Nonlinear Analysis 62 (2005) 579 – 594

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:54:19.666748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation e9d6a471-cef9-446a-a04b-d752e10cf1ab · inbound

Unstable vortices, sharp non-uniqueness with forcing, and global smooth solutions for the SQG equation cites this paper.

Unstable vortices, sharp non-uniqueness with forcing, and global smooth solutions for the SQG equation Strong ill-posedness and non-existence in Sobolev spaces for generalized-SQG

Reference 44

Resolution: verified exact; local_arxiv, observed 2026-08-07T18:46:51.444443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.