Paper Citation Record · LEDGER

Differentiability of the value function in control-constrained parabolic problems

As of 14 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2412.20310.

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

pith.paper-citation-record.v1
2412.20310 v3

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:30:43.265616Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

31 of 31 outbound references displayed

verified exact25
verified fuzzy1
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0ebcf4a0-697e-43eb-9e53-edb4bd881711 · outbound

This paper cites write newline.

Differentiability of the value function in control-constrained parabolic problems write newline

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-10T23:30:43.150676Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ffda297c-c5fa-4399-970f-f322145b9fce · outbound

This paper cites an unresolved cited work.

Differentiability of the value function in control-constrained parabolic problems Unresolved cited work

Reference 2

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.562642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 60e20623-0d84-4037-a3f9-aeeffd49813a · outbound

This paper cites an unresolved cited work.

Differentiability of the value function in control-constrained parabolic problems Unresolved cited work

Reference 3

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.551310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a581c58c-9da7-40da-9ce8-3495007f1252 · outbound

This paper cites an unresolved cited work.

Differentiability of the value function in control-constrained parabolic problems Unresolved cited work

Reference 4

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.539618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4711e1de-4260-436c-b338-7a4a4310f5c6 · outbound

This paper cites Bergounioux and N.

Differentiability of the value function in control-constrained parabolic problems Bergounioux and N

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:30:43.847489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 95133795-d404-41d8-a730-933d72f6d827 · outbound

This paper cites Breiten, K.

Differentiability of the value function in control-constrained parabolic problems Breiten, K

Reference 6

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.527962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bb2a2d9e-66a6-4998-9022-4cf8df588005 · outbound

This paper cites Breiten, K.

Differentiability of the value function in control-constrained parabolic problems Breiten, K

Reference 7

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.516122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 46afc680-c8a6-4405-9c56-36a801decadb · outbound

This paper cites Breiten, K.

Differentiability of the value function in control-constrained parabolic problems Breiten, K

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-10T23:30:43.178465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3634b236-870e-42fd-95e9-492def11b444 · outbound

This paper cites Cannarsa and H.

Differentiability of the value function in control-constrained parabolic problems Cannarsa and H

Reference 9

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.498071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 643c7dc5-04f3-4bd9-a038-a6dd7958cfdd · outbound

This paper cites Casas, A.

Differentiability of the value function in control-constrained parabolic problems Casas, A

Reference 10

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.488141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation af650b36-9988-4ff3-aa7d-97f33d57a069 · outbound

This paper cites Casas and M.

Differentiability of the value function in control-constrained parabolic problems Casas and M

Reference 11

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.478998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5d19f715-de1b-46fa-bc5d-851f3f9246e1 · outbound

This paper cites Casas and F.

Differentiability of the value function in control-constrained parabolic problems Casas and F

Reference 12

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.468978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ee87e06d-4a0a-4e1d-9828-803c795036c8 · outbound

This paper cites Casas and D.

Differentiability of the value function in control-constrained parabolic problems Casas and D

Reference 13

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.459095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f8f09efc-7f0b-47aa-9738-7920f2cd8a00 · outbound

This paper cites Christof and G.

Differentiability of the value function in control-constrained parabolic problems Christof and G

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T23:30:43.200213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54127db7-526e-43ff-90c1-cccef2ead211 · outbound

This paper cites Dom\'inguez Corella, N.

Differentiability of the value function in control-constrained parabolic problems Dom\'inguez Corella, N

Reference 15

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.447755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4b8c06a3-ff91-4865-bbc7-240a3764b76b · outbound

This paper cites Dom \' nguez Corella and T.

Differentiability of the value function in control-constrained parabolic problems Dom \' nguez Corella and T

Reference 16

Resolution: verified exact; raw_fallback, observed 2026-08-10T23:30:43.755954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5c96b4ef-02d5-4630-b4cb-31ade1e64370 · outbound

This paper cites Dom\'inguez Corella and G.

Differentiability of the value function in control-constrained parabolic problems Dom\'inguez Corella and G

Reference 17

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.436187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1d908d0c-3094-4c26-9d97-b2fe5a7701fa · outbound

This paper cites Esteve-Yag\"ue and E.

Differentiability of the value function in control-constrained parabolic problems Esteve-Yag\"ue and E

Reference 18

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.425412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9d9f6e91-215b-42cd-9cee-0be2d979cf9d · outbound

This paper cites Fathi and A.

Differentiability of the value function in control-constrained parabolic problems Fathi and A

Reference 19

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.414719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b533bb46-5c27-467b-a2f0-1d423b125263 · outbound

This paper cites Goebel , Convex optimal control problems with smooth H amiltonians , SIAM J.

Differentiability of the value function in control-constrained parabolic problems Goebel , Convex optimal control problems with smooth H amiltonians , SIAM J

Reference 20

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.403476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation abb99f10-7e83-4f44-8a65-c60d850f559e · outbound

This paper cites Analysis of Unregularized Optimal Control Problems Constrained by the Boussinesq System.

Differentiability of the value function in control-constrained parabolic problems Analysis of Unregularized Optimal Control Problems Constrained by the Boussinesq System

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-10T23:30:43.392165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e4edd724-bf0f-44e7-aa46-9545c898bd00 · outbound

This paper cites Kunisch and B.

Differentiability of the value function in control-constrained parabolic problems Kunisch and B

Reference 22

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.375405Z

Source-reported events for the cited work

correction dated 2024-04-02. Source: crossref record 10.1007/s00245-024-10119-4->10.1007/s00245-022-09840-9:correction, observed 2026-07-11T03:02:38.469255+00:00. This notice travels one citation hop only.

Observation 02d570d4-700b-47b2-8b9f-223cfab395b5 · outbound

This paper cites Kunisch and B.

Differentiability of the value function in control-constrained parabolic problems Kunisch and B

Reference 23

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.363310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 19658878-f6a6-4244-8114-0a121f112db3 · outbound

This paper cites Maurer and N.

Differentiability of the value function in control-constrained parabolic problems Maurer and N

Reference 24

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.350717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 03045ec9-554c-4fda-9bf9-dfbb3588ae36 · outbound

This paper cites an unresolved cited work.

Differentiability of the value function in control-constrained parabolic problems Unresolved cited work

Reference 25

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.338918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 51dbb0c8-802b-4ed1-871e-ed2b1225c76f · outbound

This paper cites an unresolved cited work.

Differentiability of the value function in control-constrained parabolic problems Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:30:43.833441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d6b365f4-49cf-47d0-935a-1dbb9c844678 · outbound

This paper cites an unresolved cited work.

Differentiability of the value function in control-constrained parabolic problems Unresolved cited work

Reference 27

Resolution: verified exact; raw_fallback, observed 2026-08-10T23:30:43.670932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 64ce313a-1f0a-424d-9cf0-83f840e54137 · outbound

This paper cites an unresolved cited work.

Differentiability of the value function in control-constrained parabolic problems Unresolved cited work

Reference 28

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.327935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 47d7d0cd-5025-4521-b7a0-ee858a6a8461 · outbound

This paper cites Pighin , Nonuniqueness of minimizers for semilinear optimal control problems , J.

Differentiability of the value function in control-constrained parabolic problems Pighin , Nonuniqueness of minimizers for semilinear optimal control problems , J

Reference 29

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.317157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3929c445-23fb-4de6-b280-82ed5241b8cb · outbound

This paper cites Preiss , Differentiability of L ipschitz functions on B anach spaces , J.

Differentiability of the value function in control-constrained parabolic problems Preiss , Differentiability of L ipschitz functions on B anach spaces , J

Reference 30

Resolution: verified exact; doi, observed 2026-08-10T23:30:43.305760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3990c096-d829-4110-b3cb-de30ca25e48f · outbound

This paper cites Tr \"o ltzsch , Optimal control of partial differential equations.

Differentiability of the value function in control-constrained parabolic problems Tr \"o ltzsch , Optimal control of partial differential equations

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-10T23:30:43.265616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.