Paper Citation Record · LEDGER

Localization for nonlocal gradient-based optimal control problems

As of 19 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 2 inbound Pith citation observations for arXiv:2605.09220.

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pith.paper-citation-record.v1
2605.09220 v1

Coverage vector

measured 43 of 43 reference resolution

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measured 45 of 45 standing notices

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measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T06:12:27.789678Z

measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

43 of 43 outbound references displayed

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External citation measurements

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Outbound references

Observation 27f251e7-3264-417c-9753-685083e002dc · outbound

This paper cites Semicontinuity problems in the calculus of variations.Archive for Rational Mechanics and Analysis, 86(2):125–145.

Localization for nonlocal gradient-based optimal control problems Semicontinuity problems in the calculus of variations.Archive for Rational Mechanics and Analysis, 86(2):125–145

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.665450Z

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Observation e1df435b-53d3-4b97-a2ca-6fc0a3a3c3bd · outbound

This paper cites A brief introduction to pde-constrained optimization.Frontiers in PDE-constrained optimization, 163:434.

Localization for nonlocal gradient-based optimal control problems A brief introduction to pde-constrained optimization.Frontiers in PDE-constrained optimization, 163:434

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.668498Z

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Observation 4291a544-2d3f-43b2-b859-f8d122c092e7 · outbound

This paper cites an unresolved cited work.

Localization for nonlocal gradient-based optimal control problems Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-05-13T00:46:58.681722Z

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Observation 62b7e080-4b60-4d79-9a3f-ed5eee9abc1e · outbound

This paper cites Functional and variational aspects of nonlocal operators associated with linear pdes.Nonlinear Analysis, 251:113683.

Localization for nonlocal gradient-based optimal control problems Functional and variational aspects of nonlocal operators associated with linear pdes.Nonlinear Analysis, 251:113683

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.632023Z

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Observation 6b437cfa-9008-4818-bd4a-c6559582dd6b · outbound

This paper cites Convexity conditions and existence theorems in nonlinear elasticity.Archive for rational mechanics and Analysis, 63(4):337–403.

Localization for nonlocal gradient-based optimal control problems Convexity conditions and existence theorems in nonlinear elasticity.Archive for rational mechanics and Analysis, 63(4):337–403

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.627093Z

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Observation 717fb2f6-8c37-49fd-b2bf-59201f21c47d · outbound

This paper cites Null lagrangians, weak continuity, and variational problems of arbitrary order.Journal of Functional Analysis, 41(2):135–174.

Localization for nonlocal gradient-based optimal control problems Null lagrangians, weak continuity, and variational problems of arbitrary order.Journal of Functional Analysis, 41(2):135–174

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.704896Z

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Observation 2bb1f2b1-d39c-4f6e-b7f5-f8491145339c · outbound

This paper cites Bond-based peridynamics does not converge to hyperelasticity as the horizon goes to zero.Journal of Elasticity, 141(2):273–289.

Localization for nonlocal gradient-based optimal control problems Bond-based peridynamics does not converge to hyperelasticity as the horizon goes to zero.Journal of Elasticity, 141(2):273–289

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.611470Z

Source-reported events for the cited work

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Observation 4fb426d5-fc4d-4045-a7f5-c9f95a3dc5ca · outbound

This paper cites an unresolved cited work.

Localization for nonlocal gradient-based optimal control problems Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-05-13T00:46:58.645395Z

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Observation dc27851e-2e11-4a78-830b-4b437d9cfcd3 · outbound

This paper cites Minimizers of nonlocal polyconvex energies in nonlocal hyperelasticity.Advances in Calculus of Variations.

Localization for nonlocal gradient-based optimal control problems Minimizers of nonlocal polyconvex energies in nonlocal hyperelasticity.Advances in Calculus of Variations

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.672670Z

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Observation 93b3981b-7175-4a0a-bb7d-ebac54f93960 · outbound

This paper cites Minimizers of nonlocal polyconvex energies in nonlocal hyperelasticity.Advances in Calculus of Variations, 17(3):1039–1055.

Localization for nonlocal gradient-based optimal control problems Minimizers of nonlocal polyconvex energies in nonlocal hyperelasticity.Advances in Calculus of Variations, 17(3):1039–1055

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.708110Z

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Observation e4945c73-5c8c-4a59-a3a7-fd035f4a4dbc · outbound

This paper cites Bellido and Carlos Mora-Corral.

Localization for nonlocal gradient-based optimal control problems Bellido and Carlos Mora-Corral

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.678831Z

Source-reported events for the cited work

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Observation 12f89905-e46d-4761-a7ca-e223c9ed1c6e · outbound

This paper cites Non-local gradients in bounded domains motivated by continuum mechanics: Fundamental theorem of calculus and embeddings.Advances in Nonlinear Analysis, 12(1):20220316.

Localization for nonlocal gradient-based optimal control problems Non-local gradients in bounded domains motivated by continuum mechanics: Fundamental theorem of calculus and embeddings.Advances in Nonlinear Analysis, 12(1):20220316

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.710553Z

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Observation be0ef9b0-3b90-4ea0-beca-e8fffe7bfacf · outbound

This paper cites Nonlocal gradients: Fundamental theorem of calculus, poincaré inequalities, and embeddings.Journal of the London Mathematical Society, 112(2):e70277.

Localization for nonlocal gradient-based optimal control problems Nonlocal gradients: Fundamental theorem of calculus, poincaré inequalities, and embeddings.Journal of the London Mathematical Society, 112(2):e70277

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.604390Z

Source-reported events for the cited work

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Observation 700f90f7-82b1-4b41-bedb-fa80a2b4219f · outbound

This paper cites Cambridge university press.

Localization for nonlocal gradient-based optimal control problems Cambridge university press

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.621648Z

Source-reported events for the cited work

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Observation 0d442b65-f9d3-42d8-9e42-286d7ff77fdc · outbound

This paper cites A variational theory for integral functionals involving finite-horizon fractional gradients.Fractional Calculus and Applied Analysis, pages 1–56.

Localization for nonlocal gradient-based optimal control problems A variational theory for integral functionals involving finite-horizon fractional gradients.Fractional Calculus and Applied Analysis, pages 1–56

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.650459Z

Source-reported events for the cited work

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Observation fdc1ce21-f3dc-4459-ad34-d20be8bc3a68 · outbound

This paper cites an unresolved cited work.

Localization for nonlocal gradient-based optimal control problems Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-05-13T00:46:58.662787Z

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Observation 4bb5b4f5-27a4-443f-ba43-afc10c2d9e5e · outbound

This paper cites Springer Science & Business Media.

Localization for nonlocal gradient-based optimal control problems Springer Science & Business Media

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.624512Z

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Observation fe9d7994-c8ca-464f-bc30-79bb9f900217 · outbound

This paper cites Justification de modèles de plaques non linéaires pour des lois de comportement générales.ESAIM: Mathematical Modelling and Numerical Analysis, 20(2):225–249.

Localization for nonlocal gradient-based optimal control problems Justification de modèles de plaques non linéaires pour des lois de comportement générales.ESAIM: Mathematical Modelling and Numerical Analysis, 20(2):225–249

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.684991Z

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Observation 58d9fadb-31d6-48eb-b468-ed10f783775b · outbound

This paper cites Springer Science & Business Media.

Localization for nonlocal gradient-based optimal control problems Springer Science & Business Media

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.615343Z

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 ac785717-4939-43b2-a55f-a6adb1b5a50c · outbound

This paper cites Mosco convergence of nonlocal to local quadratic forms.Nonlinear Analysis, 193:111504.

Localization for nonlocal gradient-based optimal control problems Mosco convergence of nonlocal to local quadratic forms.Nonlinear Analysis, 193:111504

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.618713Z

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Observation 24bef222-db2d-479e-8bfe-0bb6c9d157f1 · outbound

This paper cites Compactness results for a dirichlet en- ergy of nonlocal gradient with applications.Numerical Methods for Partial Differential Equations, 40(6):e23149.

Localization for nonlocal gradient-based optimal control problems Compactness results for a dirichlet en- ergy of nonlocal gradient with applications.Numerical Methods for Partial Differential Equations, 40(6):e23149

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.695688Z

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

Observation 54619037-64fe-4a35-8ece-aff3d820fa9a · outbound

This paper cites Non-constant functions with zero nonlocal gradient and their role in nonlocal neumann-type problems.Nonlinear Analysis, 249:113642.

Localization for nonlocal gradient-based optimal control problems Non-constant functions with zero nonlocal gradient and their role in nonlocal neumann-type problems.Nonlinear Analysis, 249:113642

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.634569Z

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Observation a423c274-8fba-4eb6-912b-8e7c4cd3bfa5 · outbound

This paper cites Approximation of quasiconvex functions, and lower semicontinuity of multiple inte- grals.manuscripta mathematica, 51(1):1–28.

Localization for nonlocal gradient-based optimal control problems Approximation of quasiconvex functions, and lower semicontinuity of multiple inte- grals.manuscripta mathematica, 51(1):1–28

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.692839Z

Source-reported events for the cited work

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Observation 0baacf6e-80b4-41de-aa2c-7de4d6f655a2 · outbound

This paper cites Nonlocal Korn-type characterization of Sobolev vector fields.Communications in Contemporary Mathematics, 14(04):1250028.

Localization for nonlocal gradient-based optimal control problems Nonlocal Korn-type characterization of Sobolev vector fields.Communications in Contemporary Mathematics, 14(04):1250028

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.702599Z

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Observation fd39e3e1-1366-4daa-9a68-be744b84affb · outbound

This paper cites The bond-based peridynamic system with Dirichlet-type volume constraint.Proceedings of the royal society of Edinburgh section A: mathematics, 144(1):161–186.

Localization for nonlocal gradient-based optimal control problems The bond-based peridynamic system with Dirichlet-type volume constraint.Proceedings of the royal society of Edinburgh section A: mathematics, 144(1):161–186

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.648117Z

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Observation f133b4e0-f37c-43e2-9544-3ee340691a05 · outbound

This paper cites Salgado, and Joshua M.

Localization for nonlocal gradient-based optimal control problems Salgado, and Joshua M

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.717951Z

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 23c954d5-82d7-4518-8f16-635bbb885f7f · outbound

This paper cites Asymptotic compatibility of parametrized optimal design problems.ESAIM: Mathematical Modelling and Numerical Analysis, 59(6):3069–3105.

Localization for nonlocal gradient-based optimal control problems Asymptotic compatibility of parametrized optimal design problems.ESAIM: Mathematical Modelling and Numerical Analysis, 59(6):3069–3105

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.657572Z

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 f993598f-23fa-4a19-9a48-939102b10daa · outbound

This paper cites Localization of nonlocal gradients in various topologies.Calcu- lus of Variations and Partial Differential Equations, 52(1):253–279.

Localization for nonlocal gradient-based optimal control problems Localization of nonlocal gradients in various topologies.Calcu- lus of Variations and Partial Differential Equations, 52(1):253–279

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.655033Z

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 61d013f3-e0ed-4733-aea8-ec664d3ba846 · outbound

This paper cites Quasi-convexity and lower semi-continuity of multiple variational integrals of any order.Transactions of the American Mathematical Society, 119(1):125–149.

Localization for nonlocal gradient-based optimal control problems Quasi-convexity and lower semi-continuity of multiple variational integrals of any order.Transactions of the American Mathematical Society, 119(1):125–149

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.660361Z

Source-reported events for the cited work

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Observation 21f6f908-da88-4ae9-927c-de4fea24fba6 · outbound

This paper cites Quasi-convexity and the lower semicontinuity of multiple integrals.

Localization for nonlocal gradient-based optimal control problems Quasi-convexity and the lower semicontinuity of multiple integrals

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.607707Z

Source-reported events for the cited work

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Observation 9a1626dd-600c-4d2c-b014-32dca290bcbe · outbound

This paper cites Local and nonlocal optimal control in the source.Mediterranean Journal of Mathematics, 19(1):1–24.

Localization for nonlocal gradient-based optimal control problems Local and nonlocal optimal control in the source.Mediterranean Journal of Mathematics, 19(1):1–24

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.638744Z

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Observation 531bd3e2-fe78-4559-8cef-4bcbb1b66765 · outbound

This paper cites Rindler.Calculus of Variations, First Edition.

Localization for nonlocal gradient-based optimal control problems Rindler.Calculus of Variations, First Edition

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.687706Z

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Observation 11b58459-10ac-42c5-a2eb-479fdfb60705 · outbound

This paper cites Linearized state- based peridynamics for 2-d problems.International Journal for Numerical Methods in Engineering, 108(10):1174–1197.

Localization for nonlocal gradient-based optimal control problems Linearized state- based peridynamics for 2-d problems.International Journal for Numerical Methods in Engineering, 108(10):1174–1197

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.715835Z

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 75fe4841-32ca-4081-b45b-917ffe11cde2 · outbound

This paper cites PhD thesis, Katholische Universität Eichstätt-Ingolstadt.

Localization for nonlocal gradient-based optimal control problems PhD thesis, Katholische Universität Eichstätt-Ingolstadt

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.643414Z

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 94a53188-10cc-4541-9ee5-060a4b890ad8 · outbound

This paper cites The dual approach to optimal control in the coefficients of nonlocal nonlinear diffusion.Applied Mathematics & Optimization, 89(1):27.

Localization for nonlocal gradient-based optimal control problems The dual approach to optimal control in the coefficients of nonlocal nonlinear diffusion.Applied Mathematics & Optimization, 89(1):27

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.713313Z

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 99611216-e929-48e5-b32a-da42e66bbad5 · outbound

This paper cites A fractional korn-type inequality.Discrete and Continuous Dy- namical Systems, 39(6):3315–3343.

Localization for nonlocal gradient-based optimal control problems A fractional korn-type inequality.Discrete and Continuous Dy- namical Systems, 39(6):3315–3343

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.629621Z

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 43a26fde-3f8a-4e3e-b320-b3f5b653f123 · outbound

This paper cites Nonlocal problems with local boundary conditions ii: Green’s identities and regularity of solutions.SIAM Journal on Mathematical Analysis, 57(1):404–451.

Localization for nonlocal gradient-based optimal control problems Nonlocal problems with local boundary conditions ii: Green’s identities and regularity of solutions.SIAM Journal on Mathematical Analysis, 57(1):404–451

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.641403Z

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Observation b8876a47-d97d-4ab2-abf8-b0d3092861e1 · outbound

This paper cites On a new class of fractional partial differential equations.

Localization for nonlocal gradient-based optimal control problems On a new class of fractional partial differential equations

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.636748Z

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 2e680bbb-89d7-49be-b257-4437378fc223 · outbound

This paper cites On a new class of fractional partial differential equations ii.

Localization for nonlocal gradient-based optimal control problems On a new class of fractional partial differential equations ii

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.690274Z

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 be2075e3-8dba-49d7-8044-e3d7e9224f59 · outbound

This paper cites Existence of Solutions for Fractional Optimal Control Problems with Superlinear-subcritical Controls.

Localization for nonlocal gradient-based optimal control problems Existence of Solutions for Fractional Optimal Control Problems with Superlinear-subcritical Controls

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-05-12T01:56:14.957086Z

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 03d98453-4f6a-474b-9de7-607f46f0264c · outbound

This paper cites Fractional vector analysis based on invariance requirements (critique of coordinate approaches).Continuum Mechanics and Thermodynamics, 32(1):207–228.

Localization for nonlocal gradient-based optimal control problems Fractional vector analysis based on invariance requirements (critique of coordinate approaches).Continuum Mechanics and Thermodynamics, 32(1):207–228

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.699946Z

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 101997a1-774e-487a-8462-00d71b4125e1 · outbound

This paper cites Reformulation of elasticity theory for discontinuities and long-range forces.Journal of the Mechanics and Physics of Solids, 48(1):175–209.

Localization for nonlocal gradient-based optimal control problems Reformulation of elasticity theory for discontinuities and long-range forces.Journal of the Mechanics and Physics of Solids, 48(1):175–209

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.675987Z

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 e136be79-ccfe-4476-aae7-74fafda8329c · outbound

This paper cites Peridynamic states and constitutive modeling.Journal of Elasticity, 88(2):151–184.

Localization for nonlocal gradient-based optimal control problems Peridynamic states and constitutive modeling.Journal of Elasticity, 88(2):151–184

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:46:58.652602Z

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Pith citing papers

Observation c549c201-2430-4773-9aab-7dbfb8e59538 · inbound

Nonlocal gradient, the nonlocal Laplacian and maximum principles cites this paper.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Localization for nonlocal gradient-based optimal control problems

Reference 27

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Observation 8567e5a6-d5fc-4de6-a1aa-21094c19c919 · inbound

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints cites this paper.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Localization for nonlocal gradient-based optimal control problems

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T06:42:30.436585Z

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