Paper Citation Record · LEDGER

On the well-posedness of porous medium equations on general metric measure spaces

As of 8 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 0 inbound Pith citation observations for arXiv:2607.20894.

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

pith.paper-citation-record.v1
2607.20894 v3

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measured 58 of 58 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T02:01:56.203799Z

measured 58 of 58 standing notices

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measured 0 of 1 external citation measurements

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Reference resolution

58 of 58 outbound references displayed

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Outbound references

Observation 51b0bc55-026a-4076-ba19-8343b7515bf8 · outbound

This paper cites Ambrosio, A.

On the well-posedness of porous medium equations on general metric measure spaces Ambrosio, A

Reference 1

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Observation d27030cc-967c-4a36-a27d-96b39e40151b · outbound

This paper cites an unresolved cited work.

On the well-posedness of porous medium equations on general metric measure spaces Unresolved cited work

Reference 2

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Observation 1f138410-bcbe-4f5d-bbd7-a4b56b8824e2 · outbound

This paper cites an unresolved cited work.

On the well-posedness of porous medium equations on general metric measure spaces Unresolved cited work

Reference 3

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On the well-posedness of porous medium equations on general metric measure spaces Unresolved cited work

Reference 4

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Observation 3e8d2345-2018-4162-8b89-95b273942904 · outbound

This paper cites Bartosz, X.

On the well-posedness of porous medium equations on general metric measure spaces Bartosz, X

Reference 5

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Observation 9d7a2f38-31ef-4c0c-b01d-3b9c8a56b698 · outbound

This paper cites Berchio, M.

On the well-posedness of porous medium equations on general metric measure spaces Berchio, M

Reference 6

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Observation fcd3bdab-ceeb-423a-a380-9ca10e5ac2fc · outbound

This paper cites Bonforte, G.

On the well-posedness of porous medium equations on general metric measure spaces Bonforte, G

Reference 7

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Observation d54e7d39-7e4f-4d7a-a3f3-f438f4777bdc · outbound

This paper cites an unresolved cited work.

On the well-posedness of porous medium equations on general metric measure spaces Unresolved cited work

Reference 8

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Observation 807d0ddd-5464-468e-980a-d726a6bff82b · outbound

This paper cites Cao andH.

On the well-posedness of porous medium equations on general metric measure spaces Cao andH

Reference 9

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Observation 2d5fb8be-a903-49a7-a07c-20df81707285 · outbound

This paper cites Chen andM.

On the well-posedness of porous medium equations on general metric measure spaces Chen andM

Reference 10

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Observation bae91165-acb4-4f39-ae6a-b4fcbf21a460 · outbound

This paper cites Dalrymple, R.

On the well-posedness of porous medium equations on general metric measure spaces Dalrymple, R

Reference 11

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Observation a0d4d2e7-48b1-4f36-890c-39b20e4c5c58 · outbound

This paper cites Quir ´os, A.

On the well-posedness of porous medium equations on general metric measure spaces Quir ´os, A

Reference 12

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Observation ef8f8e5a-2408-4345-8aac-efafe060e888 · outbound

This paper cites Quir ´os, A.

On the well-posedness of porous medium equations on general metric measure spaces Quir ´os, A

Reference 13

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Observation 911da3de-d7d8-4934-a4c4-14ac1478c70d · outbound

This paper cites Diestel andJ.

On the well-posedness of porous medium equations on general metric measure spaces Diestel andJ

Reference 14

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Observation c05f2091-b89c-4e82-a0fe-f3cd65b60e9e · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Unresolved cited work

Reference 15

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Observation 64a00cf1-a707-4c8a-a762-9e4b65e87aac · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Unresolved cited work

Reference 16

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Observation 90187aef-bdfe-4858-9c5f-5eec8bf6e1e0 · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Unresolved cited work

Reference 17

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Observation 9b0c233d-7ba7-4db9-80c1-ff38786d8590 · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Unresolved cited work

Reference 18

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Observation f521fc4a-b367-4907-bf44-db1f3502b889 · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Unresolved cited work

Reference 19

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Observation 2d3469f2-0c76-4162-a3db-b1c10c589377 · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Unresolved cited work

Reference 20

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Observation e5f44528-db1a-4cbc-80a7-8692141113af · outbound

This paper cites Fukushima, Y.

On the well-posedness of porous medium equations on general metric measure spaces Fukushima, Y

Reference 21

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Observation f8ddefc2-54a5-453f-ac27-def400c323e1 · outbound

This paper cites Fukushima andT.

On the well-posedness of porous medium equations on general metric measure spaces Fukushima andT

Reference 22

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Observation 255c6e23-3203-4786-8ec9-954f05f6a5a5 · outbound

This paper cites Grigor’yan,Heat kernel and analysis on manifolds, vol.

On the well-posedness of porous medium equations on general metric measure spaces Grigor’yan,Heat kernel and analysis on manifolds, vol

Reference 23

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Observation a98f7016-f709-4b82-bbd3-de1c39de969d · outbound

This paper cites Grigor’yan, E.

On the well-posedness of porous medium equations on general metric measure spaces Grigor’yan, E

Reference 24

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Observation c8c2dd21-4300-4a17-83bf-9286f9c7b788 · outbound

This paper cites Grigor’yan andJ.

On the well-posedness of porous medium equations on general metric measure spaces Grigor’yan andJ

Reference 25

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Observation 36bff9e1-0d81-4d95-856e-9d8302ec2f7f · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Unresolved cited work

Reference 26

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Observation 6c5628db-52de-405e-9b5b-3d9c5f04eb08 · outbound

This paper cites Grigor’yan, J.

On the well-posedness of porous medium equations on general metric measure spaces Grigor’yan, J

Reference 27

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Observation 42d39f03-a9f1-4cd9-9f88-4ef336668450 · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Unresolved cited work

Reference 28

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Observation a755bbe5-2b8b-48b9-85fd-19ba7dcbdf04 · outbound

This paper cites Grigor’yan andA.

On the well-posedness of porous medium equations on general metric measure spaces Grigor’yan andA

Reference 29

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Observation ef642732-40af-443a-a52a-1cdd5e7b7748 · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Grillo, D

Reference 30

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Observation 3fd886bb-743d-4528-b08d-c9b4a0cbcd6f · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Grillo andM

Reference 31

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Observation b288d597-d5a5-450b-b84b-3d13c7f60df3 · outbound

This paper cites Grillo andM.

On the well-posedness of porous medium equations on general metric measure spaces Grillo andM

Reference 32

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Observation ff36bde7-15c0-4dbe-99c0-9b9725436ccd · outbound

This paper cites Grillo, M.

On the well-posedness of porous medium equations on general metric measure spaces Grillo, M

Reference 33

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Observation c24fbd00-0a35-44d6-ac5d-eee62eebc55a · outbound

This paper cites Grillo, M.

On the well-posedness of porous medium equations on general metric measure spaces Grillo, M

Reference 34

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Observation b49d50a8-07c7-421b-a4ea-ba1c4f4a987a · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Grillo, M

Reference 35

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Observation 405fc8db-2595-4f2f-afea-bd27f103f2b7 · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Hinz andM

Reference 36

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Observation fcecdeba-f22d-4c6f-a85b-31488206fdad · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Unresolved cited work

Reference 37

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Observation d4a8d63c-d430-4939-96b2-be2620f9df7b · outbound

This paper cites On equations of continuity and transport type on metric graphs and fractals.

On the well-posedness of porous medium equations on general metric measure spaces On equations of continuity and transport type on metric graphs and fractals

Reference 38

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Observation 4adeb8f6-12f8-407b-bf9d-86742a49ef11 · outbound

This paper cites Kigami,Harmonic calculus on p.c.f.

On the well-posedness of porous medium equations on general metric measure spaces Kigami,Harmonic calculus on p.c.f

Reference 39

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Observation f25e05f3-ac32-41fb-a10a-fb415bdcaf02 · outbound

This paper cites 143 of Cambridge Tracts in Mathematics, Cambridge University Press, Cam- bridge, 2001.

On the well-posedness of porous medium equations on general metric measure spaces 143 of Cambridge Tracts in Mathematics, Cambridge University Press, Cam- bridge, 2001

Reference 40

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Observation cecf9fa7-8430-418a-97db-d52d8895d680 · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Unresolved cited work

Reference 41

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Observation fd73244b-4c07-4cb4-8b74-52b433cae522 · outbound

This paper cites Kumagai,Estimates of transition densities for Brownian motion on nested fractals, Probab.

On the well-posedness of porous medium equations on general metric measure spaces Kumagai,Estimates of transition densities for Brownian motion on nested fractals, Probab

Reference 42

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Observation 80c6e3f8-26e1-424c-865a-674afa4f7039 · outbound

This paper cites Kusuoka andX.

On the well-posedness of porous medium equations on general metric measure spaces Kusuoka andX

Reference 43

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Observation 82c5d043-d92b-4476-99bf-df52312dd0ba · outbound

This paper cites Lindstrøm,Brownian motion on nested fractals, Mem.

On the well-posedness of porous medium equations on general metric measure spaces Lindstrøm,Brownian motion on nested fractals, Mem

Reference 44

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Observation 638ba273-05fe-41dd-b68d-ee3dc6240a32 · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Unresolved cited work

Reference 45

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Observation 8261af76-5589-4528-a16c-16900aea8d40 · outbound

This paper cites Roub´ıˇcek,Evolution by pseudomonotone or weakly continuous mappings, Springer Basel, Basel, 2013, pp.

On the well-posedness of porous medium equations on general metric measure spaces Roub´ıˇcek,Evolution by pseudomonotone or weakly continuous mappings, Springer Basel, Basel, 2013, pp

Reference 46

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Observation 0f5dc4f4-6221-48fc-9363-15e3b3c7b1a6 · outbound

This paper cites R ¨ockner, W.

On the well-posedness of porous medium equations on general metric measure spaces R ¨ockner, W

Reference 47

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Observation f97c3e53-09c0-4ece-9e15-718ce701a43b · outbound

This paper cites R ¨ockner, W.

On the well-posedness of porous medium equations on general metric measure spaces R ¨ockner, W

Reference 48

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Observation 7cc05e37-0c2d-491c-8bf2-4b0f899a5768 · outbound

This paper cites Sabot,Pure point spectrum for the Laplacian on unbounded nested fractals, J.

On the well-posedness of porous medium equations on general metric measure spaces Sabot,Pure point spectrum for the Laplacian on unbounded nested fractals, J

Reference 49

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Observation d6fe0df1-3079-4ad4-9b83-c3311adc815c · outbound

This paper cites Schmidt,(weak) hardy and poincar´ e inequalities and criticality theory, in Dirichlet Forms and Related Topics, Z.-Q.

On the well-posedness of porous medium equations on general metric measure spaces Schmidt,(weak) hardy and poincar´ e inequalities and criticality theory, in Dirichlet Forms and Related Topics, Z.-Q

Reference 50

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Observation dcdaaeba-2650-49cf-9e0b-7715c6581db1 · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Slodi ˇcka andV

Reference 51

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Observation bc386970-f401-495f-bd7e-0a488157d1f6 · outbound

This paper cites Existence results for Leibenson's equation on Riemannian manifolds.

On the well-posedness of porous medium equations on general metric measure spaces Existence results for Leibenson's equation on Riemannian manifolds

Reference 52

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Observation 080ff733-adc2-4b0a-aab2-71559c9457a4 · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Teplyaev,Spectral analysis on infinite Sierpi´ nski gaskets, J

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Observation 8042fb86-7507-4ff2-b3db-408117748afb · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Unresolved cited work

Reference 54

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Observation 9c61dfb5-6b1a-4671-b816-9bcece8acfbf · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Unresolved cited work

Reference 55

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Observation 37762de0-2e11-47c4-9c33-a845ba9980d1 · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Yin andB

Reference 56

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Observation b48fdb3f-ed49-4c57-9dc8-9604fb24d93c · outbound

This paper cites Zeidler,Hilbert Space Methods and Linear Parabolic Differential Equations, Springer New York, New York, NY , 1990, pp.

On the well-posedness of porous medium equations on general metric measure spaces Zeidler,Hilbert Space Methods and Linear Parabolic Differential Equations, Springer New York, New York, NY , 1990, pp

Reference 57

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Observation 1744213e-0b9f-4575-8f8d-77a94ed0d521 · outbound

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On the well-posedness of porous medium equations on general metric measure spaces Unresolved cited work

Reference 58

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