Paper Citation Record · LEDGER

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow

As of 13 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2412.02567.

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

pith.paper-citation-record.v1
2412.02567 v1

Coverage vector

measured 43 of 43 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-11T23:34:18.804884Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

43 of 43 outbound references displayed

verified exact3
verified fuzzy29
unresolved11
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d88a4190-34b2-436b-943f-e266b89f9f03 · outbound

This paper cites Ambrosio, N.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Ambrosio, N

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.510985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 032cfee5-b405-42f5-8500-cf6a6bf8c9f3 · outbound

This paper cites Bouchitt ´e, Singular perturbations of variational problems arising fr om a two-phase transition model , Applied mathematics & optimization, 21 (1990), pp.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Bouchitt ´e, Singular perturbations of variational problems arising fr om a two-phase transition model , Applied mathematics & optimization, 21 (1990), pp

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.496722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a900c908-e9f6-4252-af8b-fdc1fdddcee5 · outbound

This paper cites an unresolved cited work.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:34:19.481353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 964b7a33-a7c1-461a-af90-e55a3a68d569 · outbound

This paper cites Bungert, T.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Bungert, T

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.466089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6909705d-9fdf-49cd-ac62-8c9f2a4a20a5 · outbound

This paper cites Chambolle, D.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Chambolle, D

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.449914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 913848e6-f6d4-4a8b-af86-92c608501553 · outbound

This paper cites Chen , Generation and propagation of interfaces for reaction-diﬀ usion equations, Journal of Diﬀerential Equations, 96 (1992), pp.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Chen , Generation and propagation of interfaces for reaction-diﬀ usion equations, Journal of Diﬀerential Equations, 96 (1992), pp

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.435143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1ce4dc9b-a187-4ce2-945c-869b93ec88ec · outbound

This paper cites an unresolved cited work.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:34:19.420646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8246e116-2ba7-465a-949f-e91a48386d20 · outbound

This paper cites Cicalese, Y.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Cicalese, Y

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.405799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b52fd5cf-57e7-4c2a-895e-88dbccdaa385 · outbound

This paper cites Homogenization and Phase Separation with Fixed Wells -- The Supercritical Case.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Homogenization and Phase Separation with Fixed Wells -- The Supercritical Case

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:34:18.895860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1f1fc883-1868-4458-a57b-f88d70289d3d · outbound

This paper cites an unresolved cited work.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:34:19.391326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 168d4240-11b2-405f-9e3e-f96306ae49a4 · outbound

This paper cites Cristoferi, I.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Cristoferi, I

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.376685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4fed46fd-495e-46db-bea6-5cca4ce8192b · outbound

This paper cites Cristoferi and G.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Cristoferi and G

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.361666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e1d00ce9-5d61-4d34-b075-ed9479799286 · outbound

This paper cites de Mottoni and M.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow de Mottoni and M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.346964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6458b994-81e4-4627-bb2b-e9d460e421bf · outbound

This paper cites an unresolved cited work.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:34:19.331359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cb0d7ed2-52b5-4600-8292-7632dcc889ae · outbound

This paper cites an unresolved cited work.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:34:19.316481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d55a193a-cedf-4b11-9755-2e29bad51728 · outbound

This paper cites an unresolved cited work.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:34:19.302293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d183a707-21fb-4ad0-8077-a7235d0aca51 · outbound

This paper cites Fischer and S.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Fischer and S

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.287235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4ff17bb6-2fe4-47d4-8c2f-53eb570f0647 · outbound

This paper cites Fischer, S.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Fischer, S

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.271662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6ce5a273-73e2-4ca9-8962-26b57d6c5b68 · outbound

This paper cites Stability of multiphase mean curvature flow beyond circular topology changes.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Stability of multiphase mean curvature flow beyond circular topology changes

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:34:18.874570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 20a49adf-18d0-45b7-96c0-38299b4a31bf · outbound

This paper cites Fischer, T.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Fischer, T

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.255074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9654f5a0-15d1-48a4-93fb-35783a914916 · outbound

This paper cites Fischer and A.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Fischer and A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.238371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7a49d819-9d9a-4f7c-b4e8-1bf617e906c5 · outbound

This paper cites Gurtin , Some Results and Conjectures in the Gradient Theory of Phase Transitions, vol.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Gurtin , Some Results and Conjectures in the Gradient Theory of Phase Transitions, vol

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.222096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a9b96f72-cf18-4c0c-a25a-c62d9b5b2219 · outbound

This paper cites Hensel and T.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Hensel and T

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.205872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d0771fff-a7d8-4431-996f-2bb88016e5a1 · outbound

This paper cites 11 1–148.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow 11 1–148

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.190013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f85b7cae-25c4-42af-93e0-d26dd7dddc41 · outbound

This paper cites A new varifold solution concept for mean curvature flow: Convergence of the Allen-Cahn equation and weak-strong uniqueness.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow A new varifold solution concept for mean curvature flow: Convergence of the Allen-Cahn equation and weak-strong uniqueness

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:34:18.851716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 870d2b43-d0a6-406a-9199-5e484ebcf7a3 · outbound

This paper cites Hensel and A.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Hensel and A

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.174489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 28c6c01d-2d57-485c-bf75-64ec7e0579b0 · outbound

This paper cites Hensel and M.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Hensel and M

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.159002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b3a49d52-98b0-49f6-b59f-6f4756f54948 · outbound

This paper cites Ilmanen , Convergence of the Allen-Cahn equation to Brakke’s motion b y mean curvature , Journal of Diﬀerential Geometry, 38 (1993), pp.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Ilmanen , Convergence of the Allen-Cahn equation to Brakke’s motion b y mean curvature , Journal of Diﬀerential Geometry, 38 (1993), pp

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.143864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d566d99e-9043-4bd2-954c-56e0a96eab67 · outbound

This paper cites an unresolved cited work.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:34:19.129020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9e4f3c21-4e67-4e69-87d6-231aca9432f8 · outbound

This paper cites Kim and Y.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Kim and Y

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.114383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation efade362-7096-41ea-8b6a-384417c19a7c · outbound

This paper cites Kroemer and T.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Kroemer and T

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.100033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dd3009e1-55d1-422b-a176-b0f4e7287dbb · outbound

This paper cites Laux , Weak-strong uniqueness for volume-preserving mean curvat ure ﬂow , Revista Matem´ atica Iberoamericana, 40 (2024), pp.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Laux , Weak-strong uniqueness for volume-preserving mean curvat ure ﬂow , Revista Matem´ atica Iberoamericana, 40 (2024), pp

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.085559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4347301e-13ea-46c7-ba89-fb52c2d7855b · outbound

This paper cites Laux and T.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Laux and T

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.070313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7597543f-db18-44c2-813e-ba915ecc995f · outbound

This paper cites an unresolved cited work.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:34:19.055105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 60dec8fc-9365-48ed-a7bf-abc092462204 · outbound

This paper cites Luckhaus and L.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Luckhaus and L

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.039246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ece68f32-176a-42c8-aa52-011bb8113dcf · outbound

This paper cites Luckhaus and T.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Luckhaus and T

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.023531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 46cd3a7b-6005-4565-b152-c645b73f9105 · outbound

This paper cites Modica , The gradient theory of phase transitions and the minimal int erface criterion , Archive for Rational Me- chanics and Analysis, 98 (1987), pp.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Modica , The gradient theory of phase transitions and the minimal int erface criterion , Archive for Rational Me- chanics and Analysis, 98 (1987), pp

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:19.007525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3af500b2-5d1c-43a4-b457-82b8edd55b4a · outbound

This paper cites Modica and S.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Modica and S

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:18.991020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ec47cc1d-1d34-44a8-bdc0-b87640b46e2d · outbound

This paper cites an unresolved cited work.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:34:18.974937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1a697b19-ab36-489a-a4ba-5b0eeb4d314a · outbound

This paper cites an unresolved cited work.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:34:18.959497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 157d13b9-0021-4c29-be46-ae9f8c89862a · outbound

This paper cites an unresolved cited work.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:34:18.943314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c98a6bbf-94d1-4091-8571-3645c94aa10a · outbound

This paper cites Sternberg, The eﬀect of a singular perturbation on nonconvex variation al problems, Archive for Rational Mechanics and Analysis, 101 (1988), pp.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Sternberg, The eﬀect of a singular perturbation on nonconvex variation al problems, Archive for Rational Mechanics and Analysis, 101 (1988), pp

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:18.927322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 646c40e6-e7b8-40cf-8baa-b7c18225387b · outbound

This paper cites Stuvard and Y.

Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow Stuvard and Y

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:34:18.911661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

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