Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T13:33:50.106443Z
Paper Citation Record · LEDGER
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem
As of 9 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2509.00609.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
46 of 46 outbound references displayed
- verified exact0
- verified fuzzy41
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f7a1ae91-a2fa-4af5-9616-e6af8be87788 · outbound
This paper cites an unresolved cited work.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:34:01.080678Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3ea21ea8-be63-46ed-9e98-6a2451e9144a · outbound
This paper cites Obstacle problems for integro-differential operators: Higher regularity of free boundaries.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Obstacle problems for integro-differential operators: Higher regularity of free boundaries
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:34:00.784692Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3104c06d-c2e9-4fcb-9f52-664d7b2ab465 · outbound
This paper cites Barrios, A.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Barrios, A
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:34:00.516969Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation af7be281-dd63-4a11-96c0-7e1e3d0d098a · outbound
This paper cites Barrios, A.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Barrios, A
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:34:00.270004Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 908b1055-04d0-47e4-9853-dadf746328f6 · outbound
This paper cites Higher regularity in nonlocal free boundary problems, 2025.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Higher regularity in nonlocal free boundary problems, 2025
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:34:00.083170Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e1d59125-bdfb-4381-aa37-bd3191cfe19c · outbound
This paper cites Fully nonlinear elliptic equations , volume 43.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Fully nonlinear elliptic equations , volume 43
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:59.772031Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation fbb46e37-94ce-4075-8f17-3b4a0d4e6a2e · outbound
This paper cites Caffarelli and A.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Caffarelli and A
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:59.475299Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6de20224-efcc-46d1-b342-e867ecd55ffb · outbound
This paper cites Caffarelli, X.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Caffarelli, X
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:59.205735Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 154fc2d3-9046-4159-bfb2-538cd31addf5 · outbound
This paper cites Variational problems with free boundaries for the fractional laplacian.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Variational problems with free boundaries for the fractional laplacian
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:58.960156Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6fc7d0b2-cce6-44e6-bf06-fb7478c26982 · outbound
This paper cites A geometric approach to free boundary problems , volume 68.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem A geometric approach to free boundary problems , volume 68
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:58.598611Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5a562685-6e78-4d86-a286-baddef3cd8c7 · outbound
This paper cites An extension problem related to the fractional laplacian.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem An extension problem related to the fractional laplacian
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:58.277736Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 55cca52e-044a-47bc-b3eb-2d60585501b9 · outbound
This paper cites Caffarelli and Pablo Raúl Stinga.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Caffarelli and Pablo Raúl Stinga
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:58.005606Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 003df9f4-5f0f-4d65-a326-cbf21ca816a3 · outbound
This paper cites Caffarelli, Sandro Salsa, and Luis Silvestre.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Caffarelli, Sandro Salsa, and Luis Silvestre
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:57.767996Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c541571c-e608-46e3-88dc-3d3e7dcefcb6 · outbound
This paper cites Duvaut and J.-L.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Duvaut and J.-L
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:57.532920Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e49392a1-4057-4311-a1e2-68bc08e2ceb5 · outbound
This paper cites De Silva and J.M.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem De Silva and J.M
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:57.267116Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 879259ad-0d55-4636-ad09-022c36c9a59c · outbound
This paper cites De Silva and O.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem De Silva and O
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:56.992656Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 924f92ba-cc97-490d-97f3-ab0fb491a30c · outbound
This paper cites De Silva and O.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem De Silva and O
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:56.654633Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1f749871-56c4-42a6-a6ac-d7642335db94 · outbound
This paper cites De Silva and O.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem De Silva and O
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:56.315741Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 55c22f92-00d8-496b-aa11-82a1f025d002 · outbound
This paper cites Regularity of higher order in two-phase free boundary problems.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Regularity of higher order in two-phase free boundary problems
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:56.128754Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7943d30b-de86-457f-ab4f-29364c7bd9bd · outbound
This paper cites Regularity of lipschitz free boundaries for the thin one-phase problem.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Regularity of lipschitz free boundaries for the thin one-phase problem
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:55.946457Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation fb88b2d4-19ec-4527-8230-3d8c070aff8b · outbound
This paper cites A one-phase problem for the fractional laplacian: Regularity of flat free boundaries.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem A one-phase problem for the fractional laplacian: Regularity of flat free boundaries
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:55.828168Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e07574ef-4ee7-4380-ac8f-fdc596ef434a · outbound
This paper cites Graphical solutions to one-phase free boundary problems.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Graphical solutions to one-phase free boundary problems
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:55.697068Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ea3f157f-a8a8-4d14-946e-ab595399ddde · outbound
This paper cites Engelstein, A.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Engelstein, A
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:55.548293Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 69d6b8b9-8336-42b6-b4b6-f3b402ea9dfc · outbound
This paper cites an unresolved cited work.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:33:55.365235Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 8b2cbd3a-70e7-433c-954a-4f698e6e3a84 · outbound
This paper cites Fabes, Carlos E.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Fabes, Carlos E
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:55.155084Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9bc8ca5e-ec1e-4783-97d0-19c6ba1408e7 · outbound
This paper cites Fall and X.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Fall and X
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:54.955656Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4fd6db64-9c0b-49b3-9ecf-8a28a9338b49 · outbound
This paper cites Generic regularity of free boundaries for the obstacle problem.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Generic regularity of free boundaries for the obstacle problem
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:54.714034Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 85110f87-5027-4619-ae85-905c8baac07f · outbound
This paper cites Regularity theory for elliptic pde.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Regularity theory for elliptic pde
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:54.525634Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 60fef535-8db3-4099-87ff-e49d63f21a37 · outbound
This paper cites Integro-Differential Elliptic Equations , volume 350 of Progress in Mathematics.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Integro-Differential Elliptic Equations , volume 350 of Progress in Mathematics
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:54.253996Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 66393d14-4bca-47cd-a9a3-f19f14d51074 · outbound
This paper cites Schauder and cordes--nirenberg estimates for nonlocal elliptic equations with singular kernels.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Schauder and cordes--nirenberg estimates for nonlocal elliptic equations with singular kernels
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:54.024947Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 68e6645d-9516-44d6-916b-c3a914034fbf · outbound
This paper cites Stable cones in the thin one-phase problem.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Stable cones in the thin one-phase problem
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:53.734700Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 088bcee9-c78a-4b22-97e0-1259778b12c2 · outbound
This paper cites Higher regularity of the free boundary in the obstacle problem for the fractional laplacian.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Higher regularity of the free boundary in the obstacle problem for the fractional laplacian
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:53.006000Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e2c9af25-e733-4c1f-b917-36a5cc88cea4 · outbound
This paper cites Kinderlehrer and L.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Kinderlehrer and L
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:52.295302Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c87d6809-8bed-4050-8e73-c8a04fd6faec · outbound
This paper cites Nonlocal operators related to nonsymmetric forms, ii: Harnack inequalities.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Nonlocal operators related to nonsymmetric forms, ii: Harnack inequalities
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:52.162252Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ae9978ca-0bef-4fe5-8860-667633c3f9ee · outbound
This paper cites Li and K.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Li and K
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:51.983426Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 76488224-0365-437b-9194-8dd0cfaa62b8 · outbound
This paper cites Boundary regularity for fully nonlinear integro-differential equations.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Boundary regularity for fully nonlinear integro-differential equations
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:51.847500Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 97fd731c-5c8d-4a44-894a-322a29b3b4e5 · outbound
This paper cites Boundary regularity estimates for nonlocal elliptic equations in C^ 1 and C^ 1, domains.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Boundary regularity estimates for nonlocal elliptic equations in C^ 1 and C^ 1, domains
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:51.675223Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 171e54b9-53f2-4730-99fb-9fe171115df5 · outbound
This paper cites Ros-Oton, C.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Ros-Oton, C
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:51.440888Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 24ba7523-e017-45b7-ad02-01a6caaac79a · outbound
This paper cites Optimal regularity for nonlocal elliptic equations and free boundary problems.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Optimal regularity for nonlocal elliptic equations and free boundary problems
Reference 39
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T13:33:49.620265Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4a053cfe-3958-4def-b05a-c27142cb60ae · outbound
This paper cites Improvement of flatness for nonlocal free boundary problems.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Improvement of flatness for nonlocal free boundary problems
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:51.251162Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c700c6ea-c0d4-47c4-abbd-3a65649e89a3 · outbound
This paper cites Optimal regularity for kinetic Fokker-Planck equations in domains.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Optimal regularity for kinetic Fokker-Planck equations in domains
Reference 41
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T13:33:49.765661Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 263e7a13-5f26-400d-8ff4-e395216d602c · outbound
This paper cites Free boundary regularity from a problem with right hand side.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Free boundary regularity from a problem with right hand side
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:51.044742Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b0c2df61-9143-4c3b-b6e0-7930e666c3f7 · outbound
This paper cites Liouville type theorems and regularity of solutions to degenerate or singular problems part i: even solutions.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Liouville type theorems and regularity of solutions to degenerate or singular problems part i: even solutions
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:50.864117Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c22fa1ee-8e12-4c2d-912f-3402f3daeb58 · outbound
This paper cites Liouville type theorems and regularity of solutions to degenerate or singular problems part ii: odd solutions.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Liouville type theorems and regularity of solutions to degenerate or singular problems part ii: odd solutions
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:50.715179Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a65c3aad-162e-4c7a-b1e8-8c26642b6b57 · outbound
This paper cites Regularity of the One-phase Free Boundaries.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Regularity of the One-phase Free Boundaries
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:33:50.522441Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2700f414-2c08-4722-8fea-1911d6e90a15 · outbound
This paper cites an unresolved cited work.
$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem Unresolved cited work
Reference 46
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:33:50.385872Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Pith citing papers
No inbound Pith citation observations are available.