Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-10T08:24:48.202969Z
Paper Citation Record · LEDGER
On Lions' density patch problem at a critical level of regularity
As of 11 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2604.16017.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-14T10:03:03.189441Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
33 of 33 outbound references displayed
- verified exact3
- verified fuzzy19
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 667e5603-3f56-4ac4-a25c-c52f4e966195 · outbound
This paper cites an unresolved cited work.
On Lions' density patch problem at a critical level of regularity Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T00:54:20.294635Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f4655732-53c2-4b0e-8e6f-5b8b0228ac64 · outbound
This paper cites Abidi and G.
On Lions' density patch problem at a critical level of regularity Abidi and G
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T00:54:20.290454Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 42455e5f-fde1-4f9c-a8b3-41e66538d0b1 · outbound
This paper cites Abidi, G.
On Lions' density patch problem at a critical level of regularity Abidi, G
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T00:54:20.307987Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f2300ae7-0d44-4fdb-a1b7-20c3fc4e5a3d · outbound
This paper cites Bahouri, J.-Y.
On Lions' density patch problem at a critical level of regularity Bahouri, J.-Y
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T00:54:20.298076Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b0d2ab2a-8962-4c56-95d2-a78e85fcf76b · outbound
This paper cites Coifman, P.-L.
On Lions' density patch problem at a critical level of regularity Coifman, P.-L
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T00:54:20.311329Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 793add8f-7f05-4282-b882-a0c6015911cb · outbound
This paper cites Crin-Barat, N.
On Lions' density patch problem at a critical level of regularity Crin-Barat, N
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T00:54:20.304853Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 24c0b69f-c57e-4980-912d-0387c655546f · outbound
This paper cites Crin-Barat, S.
On Lions' density patch problem at a critical level of regularity Crin-Barat, S
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T00:54:20.301328Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1349dc93-8f88-47c3-a2a3-6ee64d43b3ce · outbound
This paper cites Crippa and C.
On Lions' density patch problem at a critical level of regularity Crippa and C
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T00:54:20.261032Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation dbb3365d-babc-4a82-9cce-af0f1e48ca90 · outbound
This paper cites an unresolved cited work.
On Lions' density patch problem at a critical level of regularity Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T00:54:20.194423Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3e9bc54a-2e28-4056-a6ea-82bcbde751f9 · outbound
This paper cites an unresolved cited work.
On Lions' density patch problem at a critical level of regularity Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T00:54:20.264252Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6df97ca0-0c03-445f-912c-c3542fe3addf · outbound
This paper cites Danchin and P.
On Lions' density patch problem at a critical level of regularity Danchin and P
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T00:54:20.253450Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a238c906-025a-4889-9eed-0c7529b49b01 · outbound
This paper cites Danchin and P.
On Lions' density patch problem at a critical level of regularity Danchin and P
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T00:54:20.247067Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9cb5c811-8542-4f89-9817-7a9bda1b656c · outbound
This paper cites Danchin, P.
On Lions' density patch problem at a critical level of regularity Danchin, P
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T00:54:20.250443Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1f651781-2772-44fa-9053-77da67e481f2 · outbound
This paper cites Danchin and S.
On Lions' density patch problem at a critical level of regularity Danchin and S
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T00:54:20.257330Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a7a8efe5-9752-4904-ac63-d70a2e12610e · outbound
This paper cites Danchin and X.
On Lions' density patch problem at a critical level of regularity Danchin and X
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T00:54:20.284569Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 55db944d-69cb-43b2-8650-111cfb3bfc9c · outbound
This paper cites an unresolved cited work.
On Lions' density patch problem at a critical level of regularity Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T00:54:20.243689Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f53230b6-11f9-45ea-9777-94d49d3c2a46 · outbound
This paper cites Fefferman and E.
On Lions' density patch problem at a critical level of regularity Fefferman and E
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T00:54:20.229379Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 67e0e50e-c265-42f3-8367-bc96735784ff · outbound
This paper cites an unresolved cited work.
On Lions' density patch problem at a critical level of regularity Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T00:54:20.236299Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 06642e3f-0dd4-42c0-b4f9-a63949b1d0e2 · outbound
This paper cites Gancedo and E.
On Lions' density patch problem at a critical level of regularity Gancedo and E
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T00:54:20.223556Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d46447f3-d2b1-4bfe-ab6a-22c551362015 · outbound
This paper cites Gancedo, E.
On Lions' density patch problem at a critical level of regularity Gancedo, E
Reference 20
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T09:08:26.222205Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cb0b407f-fd90-4e41-8fe8-5957f12f1478 · outbound
This paper cites an unresolved cited work.
On Lions' density patch problem at a critical level of regularity Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T00:54:20.226413Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f7be7095-6ee1-41d3-9240-528c2e600956 · outbound
This paper cites an unresolved cited work.
On Lions' density patch problem at a critical level of regularity Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T00:54:20.232807Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 16e2fe3a-7012-4fbc-9e25-e50847cf29be · outbound
This paper cites Kazhikhov.
On Lions' density patch problem at a critical level of regularity Kazhikhov
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T00:54:20.239522Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6fb460d6-a590-4cb0-bb72-6f2b500e1205 · outbound
This paper cites Liao and P.
On Lions' density patch problem at a critical level of regularity Liao and P
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T00:54:20.217211Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ee0827bc-0b93-4954-b591-189198c884c7 · outbound
This paper cites Liao and P.
On Lions' density patch problem at a critical level of regularity Liao and P
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T00:54:20.210369Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 65bf82fc-7d78-4966-9afc-34c2237af57f · outbound
This paper cites Lions and J.
On Lions' density patch problem at a critical level of regularity Lions and J
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T00:54:20.213527Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3faa0c12-410b-429c-a5a5-74b54902b035 · outbound
This paper cites an unresolved cited work.
On Lions' density patch problem at a critical level of regularity Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T00:54:20.220373Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 22d4d56d-4ac6-4b25-8558-4c87d4797ccd · outbound
This paper cites Paicu, P.
On Lions' density patch problem at a critical level of regularity Paicu, P
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T00:54:20.200582Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 17f140e1-22e4-4b57-9f48-cc96d85ff162 · outbound
This paper cites Free boundary regularity of vacuum states for incompressible viscous flows in unbounded domains.
On Lions' density patch problem at a critical level of regularity Free boundary regularity of vacuum states for incompressible viscous flows in unbounded domains
Reference 29
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T09:08:26.218516Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 668a71b1-308b-4711-aa88-78ac0c4b9638 · outbound
This paper cites an unresolved cited work.
On Lions' density patch problem at a critical level of regularity Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T00:54:20.203341Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fa54d5dd-405c-4a85-b5f7-be3892379b96 · outbound
This paper cites an unresolved cited work.
On Lions' density patch problem at a critical level of regularity Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T00:54:20.207117Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 972667e7-ee5a-43a6-af51-2991a2546823 · outbound
This paper cites Inhomogeneous 2D Navier--Stokes equations: Existence, uniqueness, stability, continuity in time and energy conservation of weak solutions.
On Lions' density patch problem at a critical level of regularity Inhomogeneous 2D Navier--Stokes equations: Existence, uniqueness, stability, continuity in time and energy conservation of weak solutions
Reference 32
- Resolution
- verified exact
- arxiv_id, observed 2026-07-28T01:22:19.721608Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 78cfdca9-2d04-4eb4-94ba-d0a4b375bebf · outbound
This paper cites an unresolved cited work.
On Lions' density patch problem at a critical level of regularity Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T00:54:20.197657Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Pith citing papers
Observation 40a353fc-b0b2-4a0a-81b9-42524a7155f4 · inbound
$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem cites this paper.
$L^2(\mathbb{R}^2)$ Well-Posedness and Logarithmic Lipschitz Regularity for the Density Patch Problem On Lions' density patch problem at a critical level of regularity
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:03:03.189441Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.