Paper Citation Record · LEDGER

Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators

As of 19 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2412.03770.

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

pith.paper-citation-record.v1
2412.03770 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:16:35.999438Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:49:58.508035Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-16T10:49:58.728734Z

Reference resolution

17 of 17 outbound references displayed

verified exact0
verified fuzzy13
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 85c5b356-d462-40ae-8bbe-cf4b5435edd2 · outbound

This paper cites and Kim, K.: A Hölder estimate with an optimal t ail for nonlocal parabolic p-Laplace equations, Annali di Matematica, 203 (2024), 109–147.

Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators and Kim, K.: A Hölder estimate with an optimal t ail for nonlocal parabolic p-Laplace equations, Annali di Matematica, 203 (2024), 109–147

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:16:36.261567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5f9c04d2-730e-420e-8ba3-248a587f1093 · outbound

This paper cites and Strömqvist, M.: Continuity of solutions to a nonlinear fractional diﬀusion equation, J.

Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators and Strömqvist, M.: Continuity of solutions to a nonlinear fractional diﬀusion equation, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:16:36.246774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b47bd3ca-c953-44d1-a971-e6a5d7b4ce16 · outbound

This paper cites and Wang, J.: Elliptic Harnack i nequalities for symmetric non-local Dirichlet forms, J.

Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators and Wang, J.: Elliptic Harnack i nequalities for symmetric non-local Dirichlet forms, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:16:36.229812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 34e4c3b6-137a-464e-a1dc-825486178bb5 · outbound

This paper cites and Wang, J.: Stability of parab olic Harnack inequalitiess for symmetric non-local Dirich let forms, J.

Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators and Wang, J.: Stability of parab olic Harnack inequalitiess for symmetric non-local Dirich let forms, J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:16:36.217279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1548186e-03ad-4dea-9056-dbcd896510a4 · outbound

This paper cites an unresolved cited work.

Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:16:36.204343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a8ce45f2-0e23-48ac-bc9a-871283a88cc1 · outbound

This paper cites and Palatucci, G.: Local behavio r of fractional p-minimizers, Ann.

Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators and Palatucci, G.: Local behavio r of fractional p-minimizers, Ann

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:16:36.187936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 34caf3ec-9030-4bef-a4e6-c82c588dfee3 · outbound

This paper cites and Palatucci, G.: Nonlocal Harn ack inequalities, J.

Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators and Palatucci, G.: Nonlocal Harn ack inequalities, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:16:36.173396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation edf7023d-a54e-4f8c-be28-f5456fe451c3 · outbound

This paper cites and Valdinoci, E.: Hitchhike r’s guide to the fractional Sobolev spaces, Bull.

Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators and Valdinoci, E.: Hitchhike r’s guide to the fractional Sobolev spaces, Bull

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:16:36.159323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 14ea2479-8ec2-4580-ab31-eb170b5ff7cc · outbound

This paper cites and Zhou, S.L.: Local boundedness a nd Hölder continuity for the parabolic fractional p-Laplace equations, Calc.

Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators and Zhou, S.L.: Local boundedness a nd Hölder continuity for the parabolic fractional p-Laplace equations, Calc

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:16:36.145499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 89783e4f-2f87-4706-b94f-9eb2e191716c · outbound

This paper cites and Giusti, E.: On the regularity of the mi nima of variational integrals, Acta Math., 148 (1982), 31–46.

Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators and Giusti, E.: On the regularity of the mi nima of variational integrals, Acta Math., 148 (1982), 31–46

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:16:36.131334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5f760a5d-adb6-417d-ac96-23c346b07c2a · outbound

This paper cites an unresolved cited work.

Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:16:36.117314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 547b0389-6944-40b9-ad28-b83c0f8cb1a1 · outbound

This paper cites The parabolic Harnack inequality for nonlocal equations.

Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators The parabolic Harnack inequality for nonlocal equations

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T22:16:35.977628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d75ef59-c020-49e9-aab0-785b7a073859 · outbound

This paper cites and Toledo, J.: Fractional p-L aplacian evolution equations, J.

Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators and Toledo, J.: Fractional p-L aplacian evolution equations, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:16:36.103645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation faae2ab6-188a-4c96-b50d-0d18c9481915 · outbound

This paper cites and Tewary, V.: Local boundedness of variati onal solutions to nonlocal double phase parabolic equation s, J.

Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators and Tewary, V.: Local boundedness of variati onal solutions to nonlocal double phase parabolic equation s, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:16:36.089791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bc196f68-3497-490b-abc3-f38021faa10d · outbound

This paper cites Diﬀerential Equations , 266 (2019), 7948–7979.

Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators Diﬀerential Equations , 266 (2019), 7948–7979

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:16:36.075931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3decb199-126a-4717-bebb-7955741efeb7 · outbound

This paper cites an unresolved cited work.

Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:16:36.063579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 684e5bf9-cda4-4afc-859c-60c092ef2274 · outbound

This paper cites Diﬀerential Equations , 260 (2016), 6038–6056.

Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators Diﬀerential Equations , 260 (2016), 6038–6056

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:16:36.049674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 525bc776-7747-4c0e-99f6-9272a794eafe · inbound

Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem cites this paper.

Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators

Reference 8

Resolution: metadata mismatch; local_arxiv, observed 2026-08-16T10:49:58.733503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.