Paper Citation Record · LEDGER

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions

As of 13 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2411.13126.

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

pith.paper-citation-record.v1
2411.13126 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T17:01:29.755069Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T00:56:32.536315Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T00:56:32.776108Z

Reference resolution

40 of 40 outbound references displayed

verified exact0
verified fuzzy36
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a9dfa3ce-cb66-4c70-b28b-32c4addd90b2 · outbound

This paper cites Hamilton-Jacobi equations constrained on networks.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Hamilton-Jacobi equations constrained on networks

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.417166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 214d3405-67a8-4cc6-9ef3-f7409b45f7ca · outbound

This paper cites A class of inﬁnite horizon mean ﬁeld games on networks.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions A class of inﬁnite horizon mean ﬁeld games on networks

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.402241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4e72b9c7-a1dc-4e61-a321-df4dd1fbc7fb · outbound

This paper cites Finite horizon mean ﬁeld games on networks.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Finite horizon mean ﬁeld games on networks

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.386768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 95a697be-a595-413d-950b-81c16e4ae068 · outbound

This paper cites Hamilt on-Jacobi equations for optimal control on junctions and networks.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Hamilt on-Jacobi equations for optimal control on junctions and networks

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.368468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2857bb93-5d4d-4573-9ebb-438bc8e1c5fc · outbound

This paper cites Barles, A.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Barles, A

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.352839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b386d3f6-44e4-4cb0-af43-0136749e7e5b · outbound

This paper cites Barles, A.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Barles, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.337869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6a2b3dbc-88f8-40b1-be2b-deec599c677c · outbound

This paper cites Barles, A.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Barles, A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.322484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 70e818a5-6b19-49ae-b45a-2b2f5abd2753 · outbound

This paper cites An introduction to the theory of viscosity so lutions for ﬁrst-order Hamilton-Jacobi equations and applications.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions An introduction to the theory of viscosity so lutions for ﬁrst-order Hamilton-Jacobi equations and applications

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.307143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 119491ad-ceee-471c-be00-02f7987e5301 · outbound

This paper cites Backw ard stochastic diﬀeren- tial equations and integral-partial diﬀerential equation s.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Backw ard stochastic diﬀeren- tial equations and integral-partial diﬀerential equation s

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.291005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 51e55b54-97ba-4785-961c-7fe3fd6db6ac · outbound

This paper cites (Almost) everythi ng you always wanted to know about deterministic control problems in stratiﬁed dom ains.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions (Almost) everythi ng you always wanted to know about deterministic control problems in stratiﬁed dom ains

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.274805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 78680d92-73a3-41e1-9055-3d4213991a6d · outbound

This paper cites On Modern Approaches of Hamilton-Jacobi Equations and Control Problems with Discontinuities , volume 104 of Progress in Nonlinear Diﬀerential Equations and their Applications.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions On Modern Approaches of Hamilton-Jacobi Equations and Control Problems with Discontinuities , volume 104 of Progress in Nonlinear Diﬀerential Equations and their Applications

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.258945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d45347f7-0397-43c7-9e86-b9e92f481d47 · outbound

This paper cites H¨ o lder continuity of solutions of second-order non-linear elliptic integro-diﬀerential equations.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions H¨ o lder continuity of solutions of second-order non-linear elliptic integro-diﬀerential equations

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.225472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e7f613d6-862d-400b-8f79-91c6ca483b31 · outbound

This paper cites On the generalized Diri chlet problem for viscous Hamilton-Jacobi equations.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions On the generalized Diri chlet problem for viscous Hamilton-Jacobi equations

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.209331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c6e2dd48-6049-44e9-bd83-f15318d6f37f · outbound

This paper cites Second-order elliptic int egro-diﬀerential equations: viscosity solutions’ theory revisited.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Second-order elliptic int egro-diﬀerential equations: viscosity solutions’ theory revisited

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.193419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2864c4ad-b1bc-4453-bc69-02aaca18a0e8 · outbound

This paper cites Regularity results and large time behavior for integro-diﬀerential equations with coer cive Hamiltonians.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Regularity results and large time behavior for integro-diﬀerential equations with coer cive Hamiltonians

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.176077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bb9d536c-b3b4-4a65-8cd1-1f8aab4c5326 · outbound

This paper cites Lipschitz regularity for cen sored subdiﬀusive integro- diﬀerential equations with superfractional gradient term s.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Lipschitz regularity for cen sored subdiﬀusive integro- diﬀerential equations with superfractional gradient term s

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.156916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bada1a41-690e-41e8-a093-24f05a7845a9 · outbound

This paper cites Optimal control proble ms on stratiﬁed domains.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Optimal control proble ms on stratiﬁed domains

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.140672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 36e8f471-2003-48ae-a232-6f0da79c3d41 · outbound

This paper cites Regularity theory f or fully nonlinear integro- diﬀerential equations.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Regularity theory f or fully nonlinear integro- diﬀerential equations

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.123832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 627ac94a-d498-4b87-b484-c020b5ca2934 · outbound

This paper cites Stationary mean ﬁeld games systems deﬁned on networks.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Stationary mean ﬁeld games systems deﬁned on networks

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.107099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 07390d0b-ace1-4ef3-b8fc-cb0a3b95fa8e · outbound

This paper cites The vanishing viscosity limit for Hamilton-Jacobi equations on networks.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions The vanishing viscosity limit for Hamilton-Jacobi equations on networks

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.089734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 72a5dcc0-04df-4b24-8b1a-f81363980317 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-12T17:01:29.672536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5bcdee7-0735-4f51-bd7e-1bb74b0d49f4 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-12T17:01:30.061128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bc69ad22-47c5-4c70-adca-dffab44317aa · outbound

This paper cites Homogenizatio n of a discrete model for a bifurcation and application to traﬃc ﬂow.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Homogenizatio n of a discrete model for a bifurcation and application to traﬃc ﬂow

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.044044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 95258bef-51d4-4363-8226-514a2adb5dd1 · outbound

This paper cites On Neumann problems for nonlocal Hamilto n-Jacobi equations with dominating gradient terms.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions On Neumann problems for nonlocal Hamilto n-Jacobi equations with dominating gradient terms

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.026872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6634b744-d299-4b0d-8069-659a21992e6e · outbound

This paper cites Reﬂected symmetric α -stable processes and re- gional fractional Laplacian.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Reﬂected symmetric α -stable processes and re- gional fractional Laplacian

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:30.006116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4b1ed6b6-a4ac-4bb0-a8f7-eb71d9cd50d5 · outbound

This paper cites Elliptic partial diﬀerential equations , volume 1 of Courant Lecture Notes in Mathematics.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Elliptic partial diﬀerential equations , volume 1 of Courant Lecture Notes in Mathematics

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:29.990221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 26846afe-334a-42ee-a1c5-48823a330365 · outbound

This paper cites Flux-limited solutio ns for quasi-convex Hamilton- Jacobi equations on networks.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Flux-limited solutio ns for quasi-convex Hamilton- Jacobi equations on networks

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:29.974356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a7ad2aa4-0fac-4345-aaf7-d3eb520f64cb · outbound

This paper cites A Hami lton-Jacobi approach to junction problems and application to traﬃc ﬂows.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions A Hami lton-Jacobi approach to junction problems and application to traﬃc ﬂows

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:29.959922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 442e6af0-eb71-4996-9d70-0736b72cc241 · outbound

This paper cites Eﬀective junction con ditions for degenerate parabolic equations.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Eﬀective junction con ditions for degenerate parabolic equations

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:29.944804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d92418bb-83af-45dc-a2a0-2fe32495a4fc · outbound

This paper cites The Poincar´ e-Miranda theorem.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions The Poincar´ e-Miranda theorem

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:29.930662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9b75acba-d7be-44ba-9d08-ee1bf85fe970 · outbound

This paper cites Viscos ity solutions for junctions: well posedness and stability.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Viscos ity solutions for junctions: well posedness and stability

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:29.916652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 49d134ff-dcee-47c9-b26a-923e4e5f9b76 · outbound

This paper cites Well-p osedness for multi-dimensional junction problems with Kirchoﬀ-type conditions.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Well-p osedness for multi-dimensional junction problems with Kirchoﬀ-type conditions

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:29.902067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7c96dc70-a2e2-410d-8d29-551e97512785 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-12T17:01:29.887447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 16ccfedd-bf50-41c7-ac17-c258cc8034ab · outbound

This paper cites Quasi linear parabolic pde posed on a netwo rk with non linear Neumann boundary condition at vertices.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Quasi linear parabolic pde posed on a netwo rk with non linear Neumann boundary condition at vertices

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:29.871679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 45f48e13-c41c-414f-bed0-87192ebe1227 · outbound

This paper cites Viscosity solutions of Eikonal equations on topo- logical networks.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Viscosity solutions of Eikonal equations on topo- logical networks

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:29.854941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 60bc26f3-cfaa-48df-bc6c-940aaa3d9d0a · outbound

This paper cites Time-dependent Hamilton-Jacobi eq uations on networks.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Time-dependent Hamilton-Jacobi eq uations on networks

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:29.839684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 008867b4-530b-4c63-a431-4d8c25d2cbf4 · outbound

This paper cites Optimal control with state-space con straint.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Optimal control with state-space con straint

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:29.824373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8e68c360-c0e3-40e3-821f-6c75a0493d0a · outbound

This paper cites Existence and uniqueness for integro-diﬀe rential equations with domi- nating drift terms.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Existence and uniqueness for integro-diﬀe rential equations with domi- nating drift terms

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:29.808789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation abc97a91-710a-4336-82e3-315fd446e6ee · outbound

This paper cites Classical solvability of linear par abolic equations on networks.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Classical solvability of linear par abolic equations on networks

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:01:29.792979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d0179203-03aa-490a-a9aa-6fa6ca6d3708 · outbound

This paper cites an unresolved cited work.

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions Unresolved cited work

Reference 2024

Resolution: unresolved; raw_fallback, observed 2026-08-12T17:01:30.241915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation c8e6de0f-c6be-4f51-9024-34e1031cf610 · inbound

Stochastic scattering control of spider diffusion governed by an optimal diffraction probability measure selected from its own local-time cites this paper.

Stochastic scattering control of spider diffusion governed by an optimal diffraction probability measure selected from its own local-time Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-10T00:56:32.780732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.