Paper Citation Record · LEDGER

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below

As of 23 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:1908.03147.

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pith.paper-citation-record.v1
1908.03147 v2

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measured 41 of 41 reference resolution

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41 of 41 outbound references displayed

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Outbound references

Observation 9fb356ac-e844-45a6-9965-5a4ccad7b65b · outbound

This paper cites Gradient Flows in Metr ic Spaces and in the Space of Probability Measures.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Gradient Flows in Metr ic Spaces and in the Space of Probability Measures

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.795699Z

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Observation be95b34d-87ee-4f9b-a31f-de2b576ce7b1 · outbound

This paper cites Ambrosio, N.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Ambrosio, N

Reference 2

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Observation 32be0632-c4cb-40b3-8927-f6c69276d4f2 · outbound

This paper cites Ambrosio, N.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Ambrosio, N

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.769206Z

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Observation 6a56cf53-e68f-451b-a78f-9017d4f987ce · outbound

This paper cites Nonlinear diffusion equations and curvature conditions in metric measure spaces.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Nonlinear diffusion equations and curvature conditions in metric measure spaces

Reference 4

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Observation 99b37b40-5ce6-494f-b0fb-d283959ae72c · outbound

This paper cites Bakry, T.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Bakry, T

Reference 5

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Observation 4f4edf30-725a-44a2-a102-3484d39868b3 · outbound

This paper cites Bakry, M.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Bakry, M

Reference 6

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Observation 645d9d28-8887-462a-9409-da2d9200614c · outbound

This paper cites Analysis and Geometry of Markov Diﬀusion Operators.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Analysis and Geometry of Markov Diﬀusion Operators

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.721021Z

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Observation 25701e97-f8eb-4dec-8c85-52c12a46cf2d · outbound

This paper cites Bianchi, A.G.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Bianchi, A.G

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.698418Z

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Observation 5b1df77b-193b-47e8-9619-161b72109bda · outbound

This paper cites Bolley, J.A.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Bolley, J.A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.679078Z

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Observation e0b74799-4266-4964-9a56-62f92be93626 · outbound

This paper cites Bonforte, G.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Bonforte, G

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.663480Z

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Observation 158fb607-1cf6-4bea-94c4-3e94c4dacbd8 · outbound

This paper cites Carrillo, R.J.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Carrillo, R.J

Reference 11

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Observation b9acae3b-9fea-46af-b03c-aeba79c3b6e2 · outbound

This paper cites Regularisation effects of nonlinear semigroups.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Regularisation effects of nonlinear semigroups

Reference 12

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Observation 0d811d70-d2c3-413a-8ede-3ddc1fb6f8fd · outbound

This paper cites Daneri, G.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Daneri, G

Reference 13

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Observation 69ffeb15-bf6f-415f-a583-aa19c01b35cd · outbound

This paper cites Erbar, The heat equation on manifolds as a gradient ﬂow in the Wasser stein space, Ann.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Erbar, The heat equation on manifolds as a gradient ﬂow in the Wasser stein space, Ann

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.603141Z

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Observation 0a71f85d-b0e2-4d2a-9d18-b19d0bee297a · outbound

This paper cites Foote, Regularity of the distance function , Proc.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Foote, Regularity of the distance function , Proc

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.589313Z

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Observation a97c97c2-6f73-4b64-a3c6-1ef64d887bbc · outbound

This paper cites Fotache, M.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Fotache, M

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.573227Z

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Observation 647692cc-22fd-49c6-94aa-0497cff67aa1 · outbound

This paper cites Monge-Kantorovich distance for PDEs: the coupling method.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Monge-Kantorovich distance for PDEs: the coupling method

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:33:45.161201Z

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Observation 018112ae-cf34-40df-b28d-c4a281b16679 · outbound

This paper cites Gavrilov, The double exponential map and covariant derivation , Siberian Math.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Gavrilov, The double exponential map and covariant derivation , Siberian Math

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.558033Z

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Observation 03603e83-90ec-4a8b-8675-7906b705e225 · outbound

This paper cites Grillo, M.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Grillo, M

Reference 19

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Observation c17434c1-f482-47ca-8f61-8601a6ab8d8e · outbound

This paper cites Grillo, M.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Grillo, M

Reference 20

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Observation 90bf7a71-911e-4a4c-ae7f-aa3094eae280 · outbound

This paper cites Grillo, M.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Grillo, M

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.511367Z

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Observation 6403134e-bc18-4fd3-8680-92c53dc6f274 · outbound

This paper cites Grillo, M.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Grillo, M

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.494976Z

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Observation 23a849d4-312c-4726-9def-f6c446815cfd · outbound

This paper cites Grillo, M.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Grillo, M

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.475131Z

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Observation 99af1de3-084f-4c71-b546-30d75372b0dd · outbound

This paper cites Nonlinear Analysis on Manifolds: Sobolev Sp aces and Inequalities.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Nonlinear Analysis on Manifolds: Sobolev Sp aces and Inequalities

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.457221Z

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Observation 6be0e2ab-0d8c-4f6a-ac2e-206b2d395063 · outbound

This paper cites Jordan, D.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Jordan, D

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.443366Z

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Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Unresolved cited work

Reference 26

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Observation 5be48802-4fdb-4d4a-8050-ea721712b4ff · outbound

This paper cites Lisini, E.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Lisini, E

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.414772Z

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Observation 6798b9f6-bc17-43a7-8983-8af9e05ca31e · outbound

This paper cites Introduction to Smooth Manifolds.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Introduction to Smooth Manifolds

Reference 28

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Observation cc88ca62-3800-4f0d-9bec-ac044ec78185 · outbound

This paper cites Otto, The geometry of dissipative evolution equations: the porou s medium equation , Comm.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Otto, The geometry of dissipative evolution equations: the porou s medium equation , Comm

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.385143Z

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Observation ba194bdf-df72-431c-9ed1-6915f85004c7 · outbound

This paper cites Ollivier, Ricci curvature of Markov chains on metric spaces , J.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Ollivier, Ricci curvature of Markov chains on metric spaces , J

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.371253Z

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Observation c07c093a-5c5f-4f2c-bec5-85e413e16112 · outbound

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Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:33:45.353358Z

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Observation 8bb2034d-d73c-4fbc-a31b-e96bf54690d4 · outbound

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Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:33:45.331007Z

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Observation 6e5d0a52-4026-45bc-a820-dc122ea432e7 · outbound

This paper cites von Renesse, K.-T.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below von Renesse, K.-T

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.315065Z

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Observation 79a0b041-db1e-42c3-8e23-1200ae7c7d72 · outbound

This paper cites Strichartz, Analysis of the Laplacian on the complete Riemannian manifo ld, J.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Strichartz, Analysis of the Laplacian on the complete Riemannian manifo ld, J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.295997Z

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Observation 14a1f643-3f1f-4cf2-93d0-81aab55e7c8a · outbound

This paper cites Sturm, Convex functionals of probability measures and nonlinear d iﬀusions on manifolds , J.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Sturm, Convex functionals of probability measures and nonlinear d iﬀusions on manifolds , J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.278151Z

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Observation 6ebe04c1-87c9-4982-a518-a2748e720e85 · outbound

This paper cites Varopoulos, Small time Gaussian estimates of heat diﬀusion kernels.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Varopoulos, Small time Gaussian estimates of heat diﬀusion kernels

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.260671Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8c8b1a66-0057-4e5c-a43e-285c4e048d88 · outbound

This paper cites Asymptotic behaviour for the Heat Equation in Hyperbolic Space.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Asymptotic behaviour for the Heat Equation in Hyperbolic Space

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:33:45.140403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 069a20a3-9bb6-4841-a228-97bcf01ce217 · outbound

This paper cites Vázquez, Fundamental solution and long time behavior of the porous me dium equation in hyperbolic space , J.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Vázquez, Fundamental solution and long time behavior of the porous me dium equation in hyperbolic space , J

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.246405Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ebb0978f-96b4-4016-82c8-6b0067f72a11 · outbound

This paper cites Smoothing and Decay Estimates for Nonli near Diﬀusion Equations. Equations of Porous Medium Type.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Smoothing and Decay Estimates for Nonli near Diﬀusion Equations. Equations of Porous Medium Type

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.233762Z

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Observation 08d4af4c-a7d8-4d2c-b586-c81c3f8a20b1 · outbound

This paper cites The Porous Medium Equation. Mathematic al Theory.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below The Porous Medium Equation. Mathematic al Theory

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.221846Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a7090f8d-f29a-49f5-bd03-7fc3fd3035a8 · outbound

This paper cites Optimal Transport, Old and New.

Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Optimal Transport, Old and New

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:33:45.208680Z

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