Paper Citation Record · LEDGER

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds

As of 8 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2505.24368.

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pith.paper-citation-record.v1
2505.24368 v1

Coverage vector

measured 31 of 31 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T12:37:16.323451Z

measured 31 of 31 standing notices

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Reference resolution

31 of 31 outbound references displayed

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Outbound references

Observation ada8d889-a20d-4ecd-a780-b104d6696f32 · outbound

This paper cites an unresolved cited work.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:37:22.690834Z

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Observation b1aa8da4-e7bf-4599-9c0f-f08b0c839c22 · outbound

This paper cites an unresolved cited work.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:37:22.450402Z

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Observation b3df37b1-2442-4c04-b091-a8446ad12e48 · outbound

This paper cites an unresolved cited work.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:37:22.236139Z

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Observation 8dbe5303-9131-4286-9c14-0defd4a37968 · outbound

This paper cites Agmon, Bounds on exponential decay of eigenfunctions of Schr¨ odinger operators, in ”Schr¨ odinger Operators” (Como, 1984), 1–38, Lecture Notes in Math.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Agmon, Bounds on exponential decay of eigenfunctions of Schr¨ odinger operators, in ”Schr¨ odinger Operators” (Como, 1984), 1–38, Lecture Notes in Math

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:22.034905Z

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Observation 732f943f-0954-4ee1-aa8e-7e2f6337dde1 · outbound

This paper cites Aronson, P.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Aronson, P

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:21.846138Z

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Observation ff3f29d3-1e87-4400-9788-9354d6c3b201 · outbound

This paper cites an unresolved cited work.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:37:21.691756Z

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Observation 5ff8f6f6-89e8-4eab-8923-e5b56d40b15b · outbound

This paper cites Gaffney, The conservation property of the heat equation on Riemannian manifolds , Comm.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Gaffney, The conservation property of the heat equation on Riemannian manifolds , Comm

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:21.439812Z

Source-reported events for the cited work

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

Observation 03deba66-c815-4dca-9a60-66af38097a1a · outbound

This paper cites Heat Kernel Estimates for Schr\"odinger Operators with Decay at Infinity on Parabolic Manifolds.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Heat Kernel Estimates for Schr\"odinger Operators with Decay at Infinity on Parabolic Manifolds

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:37:16.506995Z

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Observation 2b426f06-0c90-45f1-be94-f40024a732a8 · outbound

This paper cites Grigor’yan, On stochastically complete manifolds , Dokl.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Grigor’yan, On stochastically complete manifolds , Dokl

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:21.245992Z

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

Observation 1f50a737-449d-42e1-a962-135bc27319d6 · outbound

This paper cites Grigor’yan Bounded solution for the Schr¨ odinger equation on noncompact Rieman- nian manifolds , J.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Grigor’yan Bounded solution for the Schr¨ odinger equation on noncompact Rieman- nian manifolds , J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:21.085635Z

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Observation e293d63c-0868-4f27-a927-6c1821782685 · outbound

This paper cites Grigor’yan, Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds , Bull.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Grigor’yan, Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds , Bull

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:20.873732Z

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Observation dab14568-9de0-4e78-b628-43d848e61275 · outbound

This paper cites Grigor’yan, Heat kernels on weighted manifolds and applications, Cont.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Grigor’yan, Heat kernels on weighted manifolds and applications, Cont

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:20.727461Z

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Observation 210c4f2b-3499-4dc6-8b3e-1458ba086be2 · outbound

This paper cites Grigor’yan, ”Heat Kernel and Analysis on Manifolds”, AMS/IP Studies in Advanced Mathematics, 47.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Grigor’yan, ”Heat Kernel and Analysis on Manifolds”, AMS/IP Studies in Advanced Mathematics, 47

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:20.542530Z

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Observation 69fdde4f-bf77-4864-b758-d97655fc943a · outbound

This paper cites an unresolved cited work.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:37:20.320826Z

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

Observation 2a90c644-9ed0-424d-b72f-7ce33ae77e42 · outbound

This paper cites Hsu, Heat semigroup on a complete Riemannian manifold, Ann.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Hsu, Heat semigroup on a complete Riemannian manifold, Ann

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:20.145927Z

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Observation 670350d5-420f-4734-88ef-d9e072c3001d · outbound

This paper cites Ichihara, Curvature, geodesics and the Brownian motion on a Riemannian manifold.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Ichihara, Curvature, geodesics and the Brownian motion on a Riemannian manifold

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:20.003873Z

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Observation 97753a9e-5f66-43f7-a2fe-9dfc5fd414ca · outbound

This paper cites Ishige, M.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Ishige, M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:19.859050Z

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Observation 339b28ea-ce7a-4669-bcbe-9601429cec3a · outbound

This paper cites Kamin, F.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Kamin, F

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:19.721173Z

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Observation ddef1181-5c3c-4213-beff-57c5b31520ad · outbound

This paper cites Li, Uniqueness of L1-solutions for the Laplace equation and the heat equation on Riemannian manifolds, J.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Li, Uniqueness of L1-solutions for the Laplace equation and the heat equation on Riemannian manifolds, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:19.567017Z

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Observation 8e1941d9-10e2-4db8-acf4-ea55601810db · outbound

This paper cites Meglioli, A.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Meglioli, A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:19.425056Z

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Observation 36e45f46-b4e6-4381-a102-887e9932113f · outbound

This paper cites Murata, Heat escape, Math.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Murata, Heat escape, Math

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:19.291281Z

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Observation adf88d14-a367-41cb-8278-91160dd37966 · outbound

This paper cites Murata, Nonnegative solutions of the heat equation on rotationally symmetric Rie- mannian manifolds and semismall perturbations, Rev.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Murata, Nonnegative solutions of the heat equation on rotationally symmetric Rie- mannian manifolds and semismall perturbations, Rev

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:19.138174Z

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Observation 753445fd-5298-418e-9628-e770c9049897 · outbound

This paper cites Pinchover, On positive solutions of second-order elliptic equations, stability results, and classification, Duke Math.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Pinchover, On positive solutions of second-order elliptic equations, stability results, and classification, Duke Math

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:18.912227Z

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Observation 701b76bd-dda1-441d-a6a0-65a6642f7e96 · outbound

This paper cites Pinchover, On criticality and ground states of second order elliptic equations, II , J.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Pinchover, On criticality and ground states of second order elliptic equations, II , J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:18.681024Z

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Observation ce06bab8-e18f-4757-8ee6-f9ff20d4cb2c · outbound

This paper cites Pozio, F.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Pozio, F

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:18.409015Z

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Observation a5a9d9a2-ef62-4ab9-a4ac-0cfdf1d54cf7 · outbound

This paper cites Pozio, F.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Pozio, F

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:18.121834Z

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

Observation 399ecdbc-12bf-4002-b521-90930618c630 · outbound

This paper cites Punzo, Uniqueness for the heat equation in Riemannian manifolds , J.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Punzo, Uniqueness for the heat equation in Riemannian manifolds , J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:17.902793Z

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

Observation 592fab64-e2a9-42b6-8292-bd138ab3024c · outbound

This paper cites an unresolved cited work.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:37:17.620037Z

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

Observation b0775f2b-113c-424f-a61c-7f55c0638e62 · outbound

This paper cites Smirnova, The Cauchy problem for degenerate at infinity parabolic equations, Math.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Smirnova, The Cauchy problem for degenerate at infinity parabolic equations, Math

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:17.346480Z

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Observation 7b97bf93-98fb-46ed-98f1-bec1b78235eb · outbound

This paper cites Sonin, On uniqueness classes for degenerating parabolic equations , Math.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Sonin, On uniqueness classes for degenerating parabolic equations , Math

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:16.941316Z

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

Observation 07af916b-85ab-4287-b578-fcc0088aa086 · outbound

This paper cites Yau, Some function-theoretic properties of complete Riemannian manifolds and their applications to geometry , Indiana Univ.

Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds Yau, Some function-theoretic properties of complete Riemannian manifolds and their applications to geometry , Indiana Univ

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:16.681676Z

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

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