Paper Citation Record · LEDGER

Variational Nonlinear and Nonlocal Curvature Flows

As of 8 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2506.05951.

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

pith.paper-citation-record.v1
2506.05951 v1

Coverage vector

measured 33 of 33 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T10:24:25.734240Z

measured 33 of 33 standing notices

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

33 of 33 outbound references displayed

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Outbound references

Observation d962c93e-0c40-4c54-b9b5-beb88dc2cb04 · outbound

This paper cites Curvature-driven flows: a variational approach.

Variational Nonlinear and Nonlocal Curvature Flows Curvature-driven flows: a variational approach

Reference 1

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Observation f7dce1a9-dd1d-4894-9990-6c5734a8d524 · outbound

This paper cites Axioms and fundamental equations of image processing.

Variational Nonlinear and Nonlocal Curvature Flows Axioms and fundamental equations of image processing

Reference 2

Resolution: verified exact; doi, observed 2026-08-07T10:24:25.989787Z

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Observation 801cf37c-47f4-44ff-b97e-93c11e441679 · outbound

This paper cites Moving surfaces by non-concave curvature functions.

Variational Nonlinear and Nonlocal Curvature Flows Moving surfaces by non-concave curvature functions

Reference 3

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Observation b8f33f8f-b45b-4c15-bf97-7d3c8499b473 · outbound

This paper cites Generalized motion of level sets by functions of their curvatures on Riemannian manifolds.

Variational Nonlinear and Nonlocal Curvature Flows Generalized motion of level sets by functions of their curvatures on Riemannian manifolds

Reference 4

Resolution: verified exact; doi, observed 2026-08-07T10:24:25.965040Z

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Observation 66d49dbd-9340-4cb7-a684-62e9fbf98ecb · outbound

This paper cites Bellettini and S.

Variational Nonlinear and Nonlocal Curvature Flows Bellettini and S

Reference 5

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Observation 3fd1ff13-60e0-4167-b883-fe1c80fb304f · outbound

This paper cites Front propagation problems with nonlocal terms. II.

Variational Nonlinear and Nonlocal Curvature Flows Front propagation problems with nonlocal terms. II

Reference 6

Resolution: verified exact; raw_fallback, observed 2026-08-07T10:24:26.201442Z

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Observation e010c571-0f8e-4ae9-a641-b924e3db65f7 · outbound

This paper cites On front propagation problems with nonlocal terms.

Variational Nonlinear and Nonlocal Curvature Flows On front propagation problems with nonlocal terms

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:24:26.369950Z

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Observation 463caffe-6b22-4f23-a8d3-6835947795bd · outbound

This paper cites Some flows in shape optimization.

Variational Nonlinear and Nonlocal Curvature Flows Some flows in shape optimization

Reference 8

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Observation 5be0011a-49b5-4f9f-b5aa-0c7d3e06c625 · outbound

This paper cites An algorithm for mean curvature motion.

Variational Nonlinear and Nonlocal Curvature Flows An algorithm for mean curvature motion

Reference 9

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Observation 39258a76-521d-474c-8c38-d08620475776 · outbound

This paper cites Nonlinear Mean Curvature Flow.

Variational Nonlinear and Nonlocal Curvature Flows Nonlinear Mean Curvature Flow

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:24:26.355746Z

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Observation 68a5b659-3716-4006-9a79-33d7de27842d · outbound

This paper cites Chambolle, D.

Variational Nonlinear and Nonlocal Curvature Flows Chambolle, D

Reference 11

Resolution: verified exact; doi, observed 2026-08-07T10:24:25.929953Z

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Observation 6b1b39ec-de70-438c-84fd-7d850c3db9cd · outbound

This paper cites Continuous limits of discrete perimeters.

Variational Nonlinear and Nonlocal Curvature Flows Continuous limits of discrete perimeters

Reference 12

Resolution: verified exact; raw_fallback, observed 2026-08-07T10:24:26.124169Z

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Observation e4e52fd8-d3f8-420c-8b11-7e51c67f8651 · outbound

This paper cites Existence and uniqueness for anisotropic and crystalline mean curvature flows.

Variational Nonlinear and Nonlocal Curvature Flows Existence and uniqueness for anisotropic and crystalline mean curvature flows

Reference 13

Resolution: verified exact; doi, observed 2026-08-07T10:24:25.913571Z

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Observation 9ea3d90d-6284-4f67-937a-70c51aef3da4 · outbound

This paper cites Generalized crystalline evolutions as limits of flows with smooth anisotropies.

Variational Nonlinear and Nonlocal Curvature Flows Generalized crystalline evolutions as limits of flows with smooth anisotropies

Reference 14

Resolution: verified exact; doi, observed 2026-08-07T10:24:25.896313Z

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Observation 77664f61-ab0a-4626-9bc0-1594334f080f · outbound

This paper cites Existence and uniqueness for a crystalline mean curvature flow.

Variational Nonlinear and Nonlocal Curvature Flows Existence and uniqueness for a crystalline mean curvature flow

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:24:26.340617Z

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Observation 2aa02b38-bb9b-48a8-b62e-22785fca2518 · outbound

This paper cites Nonlocal curvature flows.

Variational Nonlinear and Nonlocal Curvature Flows Nonlocal curvature flows

Reference 16

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Observation 58fd6525-6757-49ae-801b-6d82c0cc2ff5 · outbound

This paper cites Implicit time discretization of the mean curvature flow with a discontinuous forcing term.

Variational Nonlinear and Nonlocal Curvature Flows Implicit time discretization of the mean curvature flow with a discontinuous forcing term

Reference 17

Resolution: verified exact; doi, observed 2026-08-07T10:24:25.859022Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a2437604-69a5-46e1-920a-5566c80d27ab · outbound

This paper cites Deforming convex hypersurfaces by the square root of the scalar curvature.

Variational Nonlinear and Nonlocal Curvature Flows Deforming convex hypersurfaces by the square root of the scalar curvature

Reference 18

Resolution: verified exact; doi, observed 2026-08-07T10:24:25.842064Z

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Observation 1319d17e-7a3a-4a13-a9e4-99b0d95666bf · outbound

This paper cites User’s guide to viscosity solutions of second order partial differential equations.

Variational Nonlinear and Nonlocal Curvature Flows User’s guide to viscosity solutions of second order partial differential equations

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T10:24:25.671512Z

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Observation f33f4658-8b21-480b-accc-313ec7094dc7 · outbound

This paper cites Time-fractional Allen–Cahn equations versus powers of the mean curvature.

Variational Nonlinear and Nonlocal Curvature Flows Time-fractional Allen–Cahn equations versus powers of the mean curvature

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:24:26.325778Z

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Variational Nonlinear and Nonlocal Curvature Flows Unresolved cited work

Reference 21

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Observation 76911b1b-039b-483f-a68e-520160fe003b · outbound

This paper cites A level set crystalline mean curvature flow of surfaces.

Variational Nonlinear and Nonlocal Curvature Flows A level set crystalline mean curvature flow of surfaces

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:24:26.295161Z

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Observation 5b6a3105-b97c-445f-8581-49b2d4e0ab1a · outbound

This paper cites Approximation of general facets by regular facets with respect to anisotropic total variation energies and its application to crystalline mean curvature flow.

Variational Nonlinear and Nonlocal Curvature Flows Approximation of general facets by regular facets with respect to anisotropic total variation energies and its application to crystalline mean curvature flow

Reference 23

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Observation 85bed7e3-4051-43e0-b17a-6963882f4bfa · outbound

This paper cites Level set approach for fractional mean curvature flows.

Variational Nonlinear and Nonlocal Curvature Flows Level set approach for fractional mean curvature flows

Reference 24

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Observation 27291fc8-7a1c-4551-9d87-56f1ec79c797 · outbound

This paper cites Implicit time discretization for the mean curvature flow equation.

Variational Nonlinear and Nonlocal Curvature Flows Implicit time discretization for the mean curvature flow equation

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:24:26.263664Z

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Observation 5d6d11bf-e43a-48b1-98c0-8f3c7db7638b · outbound

This paper cites Level set and variational methods for geometric flows.

Variational Nonlinear and Nonlocal Curvature Flows Level set and variational methods for geometric flows

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:24:26.246740Z

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Observation b473bd02-3b71-4570-9f31-1f865c75ea6c · outbound

This paper cites Non-homothetic convex ancient solutions for flows by high powers of curvature.

Variational Nonlinear and Nonlocal Curvature Flows Non-homothetic convex ancient solutions for flows by high powers of curvature

Reference 27

Resolution: verified exact; doi, observed 2026-08-07T10:24:25.797499Z

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Observation 85ece5f8-8fcf-4457-bb24-e18641f2d374 · outbound

This paper cites Affine invariant scale-space.

Variational Nonlinear and Nonlocal Curvature Flows Affine invariant scale-space

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:24:26.231285Z

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Observation 330ffaa6-312d-4338-9eff-c6fbaaef6ae8 · outbound

This paper cites Evolution of convex hypersurfaces by powers of the mean curvature.

Variational Nonlinear and Nonlocal Curvature Flows Evolution of convex hypersurfaces by powers of the mean curvature

Reference 29

Resolution: verified exact; doi, observed 2026-08-07T10:24:25.781082Z

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Observation 02b7b1dc-b52b-493f-8637-856740b00e9a · outbound

This paper cites Nonlinear evolution by mean curvature and isoperimetric inequalities.

Variational Nonlinear and Nonlocal Curvature Flows Nonlinear evolution by mean curvature and isoperimetric inequalities

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:24:26.216879Z

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Observation 69d835a2-6da9-4f9f-9699-0c4783f9d4b6 · outbound

This paper cites Approximation schemes for propagation of fronts with nonlocal velocities and Neumann boundary conditions.

Variational Nonlinear and Nonlocal Curvature Flows Approximation schemes for propagation of fronts with nonlocal velocities and Neumann boundary conditions

Reference 31

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Variational Nonlinear and Nonlocal Curvature Flows Unresolved cited work

Reference 2669

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Observation 78ea29cf-9b06-4e87-9bee-647c8a8a0ec7 · outbound

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Variational Nonlinear and Nonlocal Curvature Flows Unresolved cited work

Reference 3640

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