Paper Citation Record · LEDGER

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations

As of 15 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2507.16288.

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

pith.paper-citation-record.v1
2507.16288 v2

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:25:05.605990Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T20:49:33.929911Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

38 of 38 outbound references displayed

verified exact15
verified fuzzy7
unresolved13
parse uncertain0
malformed identifier3
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0553fc1a-73cc-4b0f-863e-5d0d6953c1dc · outbound

This paper cites The lions derivative in infinite dimensions – ap- plication to higher order expansion of mean-field spdes, 2025.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations The lions derivative in infinite dimensions – ap- plication to higher order expansion of mean-field spdes, 2025

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:25:05.994902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 007bb5ff-f396-4b9d-bafa-fe8d2a6dbb8a · outbound

This paper cites An introductory approach to duality in optimal stochastic control.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations An introductory approach to duality in optimal stochastic control

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:25:05.984042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ab6d9635-a6b3-45c7-8c2b-a6086f7e4344 · outbound

This paper cites A general stochastic maximum principle for optimal control problems.SIAM Journal on Control and Optimization, 28(4):966–979, 1990.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations A general stochastic maximum principle for optimal control problems.SIAM Journal on Control and Optimization, 28(4):966–979, 1990

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T15:25:05.481943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5b30a0a-835d-4937-afb2-6339bac3afbe · outbound

This paper cites Mean field games.Japanese Journal of Mathe- matics, 2(1):229–260, Mar 2007.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Mean field games.Japanese Journal of Mathe- matics, 2(1):229–260, Mar 2007

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T15:25:05.485799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e01820c7-3d98-44e5-958e-eee59b5dd6d8 · outbound

This paper cites Springer International Publishing, Cham, 2018.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Springer International Publishing, Cham, 2018

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T15:25:05.489031Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1fcf8f6-9785-460e-b840-a23fe04a587e · outbound

This paper cites Mean-field stochastic differential equations and associated pdes.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Mean-field stochastic differential equations and associated pdes

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T15:25:05.492576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 26485b59-2495-4f67-989d-f1c5593934fe · outbound

This paper cites Dynamic programming for optimal control of stochastic mckean–vlasov dynamics.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Dynamic programming for optimal control of stochastic mckean–vlasov dynamics

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:25:05.974094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8b806ad6-bb57-4f32-a897-f9be2f629be2 · outbound

This paper cites Ency- clopedia of Mathematics and its Applications.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Ency- clopedia of Mathematics and its Applications

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T15:25:05.504542Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65912d71-5c8f-4fbe-bf3a-62938cb3250d · outbound

This paper cites Stochastic Partial Differential Equations: An Introduc- tion.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Stochastic Partial Differential Equations: An Introduc- tion

Reference 9

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T15:25:05.961663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 005efbdd-1dc0-4e6e-9222-0e71c484458c · outbound

This paper cites Springer International Publishing, Cham, 2021.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Springer International Publishing, Cham, 2021

Reference 10

Resolution: verified exact; doi, observed 2026-08-06T15:25:05.804244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 363a9e09-6dfd-4386-a970-4bbdc3b80346 · outbound

This paper cites Stochasticmaximumprinciplefordistributedparametersystems.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Stochasticmaximumprinciplefordistributedparametersystems

Reference 11

Resolution: verified exact; doi, observed 2026-08-06T15:25:05.794609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4c00d160-6d0b-42e5-b9e8-306635bdff7a · outbound

This paper cites Stochastic maximum principle for optimal control of spdes.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Stochastic maximum principle for optimal control of spdes

Reference 12

Resolution: verified exact; doi, observed 2026-08-06T15:25:05.784056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a07dcd6e-5ede-4c75-a866-722a302844f9 · outbound

This paper cites Springer International Publishing, Cham, 2021.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Springer International Publishing, Cham, 2021

Reference 13

Resolution: verified exact; doi, observed 2026-08-06T15:25:05.772626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 58102fe4-5aeb-4594-b8bf-701e9c64ad98 · outbound

This paper cites an unresolved cited work.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:25:05.949835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a4e99fc5-1749-479a-a8a1-a695b985b312 · outbound

This paper cites Stochastic control for mean-field stochastic partial differential equations with jumps.Journal of Optimization Theory and Applications, 176(3):559–584, Mar 2018.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Stochastic control for mean-field stochastic partial differential equations with jumps.Journal of Optimization Theory and Applications, 176(3):559–584, Mar 2018

Reference 15

Resolution: verified exact; doi, observed 2026-08-06T15:25:05.760609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fcd477bc-e428-4db8-af87-17d1eef7b732 · outbound

This paper cites Forward and backward mean-field stochastic partial differential equation and optimal control.Chinese Annals of Mathematics, Series B, 40(4):515–540, Jul 2019.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Forward and backward mean-field stochastic partial differential equation and optimal control.Chinese Annals of Mathematics, Series B, 40(4):515–540, Jul 2019

Reference 16

Resolution: verified exact; doi, observed 2026-08-06T15:25:05.750354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1d5968b5-8072-447d-8e0f-11d974d58db8 · outbound

This paper cites Op- timal control of path-dependent mckean-vlasov sdes in infinite dimension.The Annals of Applied Probability, 33:2863–2918, 08 2023.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Op- timal control of path-dependent mckean-vlasov sdes in infinite dimension.The Annals of Applied Probability, 33:2863–2918, 08 2023

Reference 17

Resolution: verified exact; doi, observed 2026-08-06T15:25:05.740284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0c94ca32-d5d8-4d28-8438-aaaf9d56ae5f · outbound

This paper cites Distribution-dependent stochastic porous media equations.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Distribution-dependent stochastic porous media equations

Reference 18

Resolution: verified exact; doi, observed 2026-08-06T15:25:05.728353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b15008e6-8823-4b16-9a3d-0f3fd87b78ca · outbound

This paper cites Mckean-vlasov sde and spde with locally monotone coefficients.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Mckean-vlasov sde and spde with locally monotone coefficients

Reference 19

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T15:25:05.940178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0755f861-f063-45ef-b23b-8acbc55ee230 · outbound

This paper cites Deterministic control of stochastic reaction-diffusion equations.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Deterministic control of stochastic reaction-diffusion equations

Reference 20

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T15:25:05.930144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 58939a23-e873-4cdc-97e4-908cb52746f3 · outbound

This paper cites Optimalcontrolofmeanfieldequationswithmono- tone coefficients and applications in neuroscience.Applied Mathematics & Optimization, 84 (2):1925–1968, Dec 2021.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Optimalcontrolofmeanfieldequationswithmono- tone coefficients and applications in neuroscience.Applied Mathematics & Optimization, 84 (2):1925–1968, Dec 2021

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T15:25:05.550714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3bc2e90e-d57c-4384-86a6-4d4ea7ad3381 · outbound

This paper cites The Wasserstein distances, pages93–111.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations The Wasserstein distances, pages93–111

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T15:25:05.553763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 280a7d1b-4a1e-41a8-ae8a-cae0333383a6 · outbound

This paper cites an unresolved cited work.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:25:05.920129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e0787414-c68c-4870-b8f8-b8b155eace91 · outbound

This paper cites Dinculeanu.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Dinculeanu

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:25:05.909516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ecef8b79-bfcb-43a2-921a-bb47a9452eba · outbound

This paper cites Diestel and J.J.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Diestel and J.J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:25:05.896798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8a20875c-f31c-4411-af9a-1b3a41e9f9b0 · outbound

This paper cites Springer International Publishing, Cham, 2023.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Springer International Publishing, Cham, 2023

Reference 26

Resolution: verified exact; doi, observed 2026-08-06T15:25:05.704832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 20374db9-1042-4f03-9f9d-4ee95c17664d · outbound

This paper cites an unresolved cited work.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Unresolved cited work

Reference 27

Resolution: verified exact; doi, observed 2026-08-06T15:25:05.694353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 55f90ffb-016f-4eba-b0e9-985dd9b16f08 · outbound

This paper cites Backward Stochastic Differential Equations, pages 353–515.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Backward Stochastic Differential Equations, pages 353–515

Reference 28

Resolution: verified exact; doi, observed 2026-08-06T15:25:05.684394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ff9c7501-6ed8-428f-acc3-5cd75c55b50e · outbound

This paper cites One-dimensional bsdes with finite and infinite time horizons.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations One-dimensional bsdes with finite and infinite time horizons

Reference 29

Resolution: verified exact; doi, observed 2026-08-06T15:25:05.674255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b17d198e-d360-4ea8-ba5f-720ea577852e · outbound

This paper cites Jakubowski.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Jakubowski

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T15:25:05.580554Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18c37164-1c2b-4625-8842-3858b99642f8 · outbound

This paper cites Martingale solutions and markov selections for stochastic partial differential equations.Stochastic Processes and their Appli- cations, 119(5):1725–1764, 2009.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Martingale solutions and markov selections for stochastic partial differential equations.Stochastic Processes and their Appli- cations, 119(5):1725–1764, 2009

Reference 31

Resolution: verified exact; doi, observed 2026-08-06T15:25:05.656932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c79fb648-8ad7-45b8-a47b-26d6129607f0 · outbound

This paper cites Adams and J.J.F.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Adams and J.J.F

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:25:05.885670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation de164807-2b78-4fc5-be14-7144969358d3 · outbound

This paper cites an unresolved cited work.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:25:05.873998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9f442283-3cde-433f-a4a2-4711d52545d6 · outbound

This paper cites Handbook of Analysis and Its Foundations.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Handbook of Analysis and Its Foundations

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:25:05.863573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5e4fffa0-5e7f-49e2-873f-1c909a51ad8b · outbound

This paper cites an unresolved cited work.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:25:05.852801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2660a4b9-383c-4446-b2d0-facb89c9e94d · outbound

This paper cites Topology, pages 21–67.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Topology, pages 21–67

Reference 36

Resolution: verified exact; doi, observed 2026-08-06T15:25:05.632325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6862bd3f-3012-40ab-8ff0-db9c964c19c9 · outbound

This paper cites doi: 10.1016/B978-0-12-622760-4.X5000-6.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations doi: 10.1016/B978-0-12-622760-4.X5000-6

Reference 1997

Resolution: verified exact; doi, observed 2026-08-06T15:25:05.644519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9f109757-dadb-40d2-841d-aeb75fc33a3c · outbound

This paper cites an unresolved cited work.

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations Unresolved cited work

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-08-06T15:25:05.500580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 6e60b2ba-1401-48af-a2be-a8bf0c020f57 · inbound

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications cites this paper.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-03T20:49:33.929911Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.