Paper Citation Record · LEDGER

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains

As of 20 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2507.20472.

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

pith.paper-citation-record.v1
2507.20472 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:51:22.769116Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-14T18:45:46.999347Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-14T18:47:36.217941Z

Reference resolution

42 of 42 outbound references displayed

verified exact0
verified fuzzy25
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 06cb46cd-8aa6-4041-86d5-69b7ba36ec96 · outbound

This paper cites S., A LZAHRANI , E.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains S., A LZAHRANI , E

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.585973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 568da703-829b-449d-aff7-914cdc5209f8 · outbound

This paper cites an unresolved cited work.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:51:23.570223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 53164df4-c4e4-48fc-8530-a61745062866 · outbound

This paper cites an unresolved cited work.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:51:23.554175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 704cde03-282e-40c8-9d4e-c637cb70b467 · outbound

This paper cites On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T17:51:22.588310Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd3d9769-39b7-4779-8f6b-c863dc513748 · outbound

This paper cites Hamilton-Jacobi Equations with State Constraints.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Hamilton-Jacobi Equations with State Constraints

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.540271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 30bceb8a-f00b-41a4-9990-ec412b6a0845 · outbound

This paper cites Convergence of solutions of Hamilton–Jacobi equations depending nonlinearly on the unknown function.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Convergence of solutions of Hamilton–Jacobi equations depending nonlinearly on the unknown function

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.526323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3d17b135-b98e-48e8-bedd-d659daad9699 · outbound

This paper cites Convergence of the solutions of the nonlinear discounted Hamilton– Jacobi equation: The central role of Mather measures.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Convergence of the solutions of the nonlinear discounted Hamilton– Jacobi equation: The central role of Mather measures

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.509657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ffd19d2b-9c08-465f-b8a8-616489fb315d · outbound

This paper cites Convergence of the solutions of the discounted Hamilton–Jacobi equation: Convergence of the discounted solutions.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Convergence of the solutions of the discounted Hamilton–Jacobi equation: Convergence of the discounted solutions

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.492430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 51ff2100-1d00-42f1-8f48-d471ab5a70c2 · outbound

This paper cites The vanishing discount problem for nonlocal Hamilton-Jacobi equations.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains The vanishing discount problem for nonlocal Hamilton-Jacobi equations

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T17:51:22.619461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14a5ffdd-c306-4ad0-985d-5f5bcaf973d1 · outbound

This paper cites Convergence/divergence phenomena in the vanishing discount limit of Hamilton-Jacobi equations.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Convergence/divergence phenomena in the vanishing discount limit of Hamilton-Jacobi equations

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T17:51:22.624201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 140948e9-8bed-4292-ae36-4fe460e63d5f · outbound

This paper cites On the vanishing discount problem from the negative direction.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains On the vanishing discount problem from the negative direction

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.476927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4e70ed9e-0d62-43af-b411-32748e4a57d0 · outbound

This paper cites Weak kam theorem on non compact manifolds.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Weak kam theorem on non compact manifolds

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.463515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b53fbbfc-6988-4c4e-bdb4-3f088aac86c3 · outbound

This paper cites PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.446324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 61811a19-9c9c-4ab4-b4c3-ef9adf2009b6 · outbound

This paper cites H., AND SONER , H.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains H., AND SONER , H

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.432717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6774a957-d93b-4608-aa11-be8c37cba8ac · outbound

This paper cites an unresolved cited work.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:51:23.418784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3a7b51a9-a0ce-4433-92be-e6e0c10bf258 · outbound

This paper cites Asymptotic solutions for large time of Hamilton-Jacobi equations in euclidean n space.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Asymptotic solutions for large time of Hamilton-Jacobi equations in euclidean n space

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.404192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a44c1734-9071-43ad-8a6c-347dce83141b · outbound

This paper cites an unresolved cited work.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:51:23.388865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3f4809a8-a9de-4985-8cfc-27a3fef23c84 · outbound

This paper cites an unresolved cited work.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:51:23.374702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0348739e-0847-49c4-86c9-9aaf435078ae · outbound

This paper cites The vanishing discount problem for Hamilton–Jacobi equations in the Euclidean space.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains The vanishing discount problem for Hamilton–Jacobi equations in the Euclidean space

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T17:51:22.663127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb5e9ad5-d33e-41df-9308-2fec5d4fa098 · outbound

This paper cites Nonlinear Semigroup Approach to the Hamilton-Jacobi Equation– a Toy Model.Minimax Theory and its Applications 8, 1 (Aug.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Nonlinear Semigroup Approach to the Hamilton-Jacobi Equation– a Toy Model.Minimax Theory and its Applications 8, 1 (Aug

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.357461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f692315d-e3c0-43c8-a5dd-5dad0cb55e9b · outbound

This paper cites an unresolved cited work.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:51:23.340082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f886d59d-ca97-48ce-8189-5876b15a1e09 · outbound

This paper cites V., AND TU, S.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains V., AND TU, S

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.323174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 394f4af8-89ca-425c-b9d7-71293f1680d0 · outbound

This paper cites Generalized Solutions of Hamilton–Jacobi Equations.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Generalized Solutions of Hamilton–Jacobi Equations

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.301601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 111a3ab3-b270-4b3f-aba8-9735343b5389 · outbound

This paper cites an unresolved cited work.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:51:23.285300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a5ee7a8c-d831-4703-9b90-f32797a497ad · outbound

This paper cites Asymptotic Solutions of Hamilton–Jacobi Equations with State Constraints.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Asymptotic Solutions of Hamilton–Jacobi Equations with State Constraints

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.269128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 07ca35a5-8382-460b-978e-3d0e71ba9354 · outbound

This paper cites Weak KAM theory for discounted Hamilton–Jacobi equations and its application.Calculus of Variations and Partial Differential Equations 57, 3 (Apr.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Weak KAM theory for discounted Hamilton–Jacobi equations and its application.Calculus of Variations and Partial Differential Equations 57, 3 (Apr

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.252874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fe33cb3b-8344-41db-aea8-e3461a4758f6 · outbound

This paper cites an unresolved cited work.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:51:23.239941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation dc1ff4be-89f2-461f-aca4-08e17cfc06ab · outbound

This paper cites V., AND YU, Y.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains V., AND YU, Y

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.224081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 30bbcaf2-b5f9-4b43-8d05-e7756c5ab892 · outbound

This paper cites Multiple asymptotic behaviors of solutions in the generalized vanishing discount problem.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Multiple asymptotic behaviors of solutions in the generalized vanishing discount problem

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.202608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation dc4a8d4c-5262-428c-a072-d463c0e8619c · outbound

This paper cites Optimal Control with State-Space Constraint I.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Optimal Control with State-Space Constraint I

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.188496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fbb7c65d-db0c-4360-b1be-bc061dda25ab · outbound

This paper cites an unresolved cited work.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:51:23.168751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 44f50cfa-f491-4b3b-b816-ebeb9f2137f3 · outbound

This paper cites an unresolved cited work.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:51:23.152161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4cbb40ff-23ce-4548-9c6b-0ff71f637081 · outbound

This paper cites an unresolved cited work.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:51:23.135857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 805fc20a-a4bd-4b30-a55e-04aa6c9dc59e · outbound

This paper cites an unresolved cited work.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:51:23.120902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2f18f41d-5496-41ad-af8d-67ce6ec6d7b9 · outbound

This paper cites Aubry–Mather Theory for Contact Hamiltonian Systems.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Aubry–Mather Theory for Contact Hamiltonian Systems

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.097247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6af312ee-6e6b-4779-9d48-fc8977bd2018 · outbound

This paper cites Variational principle for contact Hamiltonian systems and its applications.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Variational principle for contact Hamiltonian systems and its applications

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.079706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 959deed4-8f86-40c0-984f-8f08c30ab6a9 · outbound

This paper cites A variational principle for contact Hamiltonian systems.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains A variational principle for contact Hamiltonian systems

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.065142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ddeb3c93-813f-4eb7-a42d-51cb77a48d1d · outbound

This paper cites Convergence of Viscosity Solutions of Generalized Contact Hamilton–Jacobi Equations.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Convergence of Viscosity Solutions of Generalized Contact Hamilton–Jacobi Equations

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.052089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 68dcd0cc-9387-4508-b7d6-0da5914d3af2 · outbound

This paper cites On the Negative Limit of Viscosity Solutions for Discounted Hamilton–Jacobi Equations.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains On the Negative Limit of Viscosity Solutions for Discounted Hamilton–Jacobi Equations

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.038020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c3408525-9b37-4d08-b3a3-17df943846a9 · outbound

This paper cites Convergence of solutions for some degenerate discounted Hamilton–Jacobi equations.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Convergence of solutions for some degenerate discounted Hamilton–Jacobi equations

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.023247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8eebad59-d728-4202-b6c4-d1b75b3649a0 · outbound

This paper cites Limit of solutions for semilinear Hamilton–Jacobi equations with degenerate viscosity.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Limit of solutions for semilinear Hamilton–Jacobi equations with degenerate viscosity

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:51:23.004745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c8c6d33e-96e1-4417-a567-beae6c73d6aa · outbound

This paper cites Representation formulas and large time behavior for solutions to some nonconvex Hamilton-Jacobi equations.

Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains Representation formulas and large time behavior for solutions to some nonconvex Hamilton-Jacobi equations

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-15T17:51:22.731127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation e60e6799-6ff9-40f1-9c3f-b0fe311a21ec · inbound

A new selection problem for degenerate viscous Hamilton-Jacobi equations cites this paper.

A new selection problem for degenerate viscous Hamilton-Jacobi equations Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains

Reference 52

Resolution: verified exact; arxiv_id, observed 2026-06-08T02:03:44.385778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.