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Paper Citation Record · LEDGER

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs

As of 8 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2606.08490.

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pith.paper-citation-record.v1
2606.08490 v1

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measured 60 of 60 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-27T18:20:28.833245Z

measured 60 of 60 standing notices

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60 of 60 outbound references displayed

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Outbound references

Observation 32532f7e-a2c5-44f9-9ef9-876c52cafb14 · outbound

This paper cites Adami, E.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Adami, E

Reference 1

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Observation ed839c09-e7b9-4e69-9b79-c6e388a7f02b · outbound

This paper cites Bandle, M.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Bandle, M

Reference 2

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Observation da1c96f0-065b-4102-8ec7-653645b556d8 · outbound

This paper cites Barlow, T.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Barlow, T

Reference 3

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Observation 37161046-1379-4f5b-9521-d2d8d2f1db68 · outbound

This paper cites Berkolaiko, P.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Berkolaiko, P

Reference 4

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Observation 8042ee2a-ae99-408a-94f6-7cb58152fa87 · outbound

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Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Unresolved cited work

Reference 5

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Observation 3a0f6289-031b-468c-97d1-aa2b392d3ba3 · outbound

This paper cites Chang, L.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Chang, L

Reference 6

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Observation 609c01f4-ef74-42c4-bab7-061e6495d544 · outbound

This paper cites Dovetta, E.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Dovetta, E

Reference 7

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Observation 200130ad-e868-4002-b7cc-c779096ddde4 · outbound

This paper cites Erbar, J.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Erbar, J

Reference 8

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Observation 51a942ab-0af3-44c8-ac3c-6a443f1def92 · outbound

This paper cites Friedman, Some geometric aspects of graphs and their eigenfunctions, Duke Math.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Friedman, Some geometric aspects of graphs and their eigenfunctions, Duke Math

Reference 9

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Observation 4ba25e47-c87f-4ffd-840c-aea5bed3b6a2 · outbound

This paper cites Calculus on Graphs.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Calculus on Graphs

Reference 10

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Observation cd0f1ff6-ff65-4b25-9bdd-39ed24c62ff8 · outbound

This paper cites Friedman, J.-P.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Friedman, J.-P

Reference 11

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Observation 61407e83-7567-4606-8898-4c6ef8bac7ff · outbound

This paper cites Fujita, On the blowing up of solutions of the Cauchy problem foru t = ∆u+u 1+α, J.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Fujita, On the blowing up of solutions of the Cauchy problem foru t = ∆u+u 1+α, J

Reference 12

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Observation 29b0cec4-a726-4f5d-8bf6-fa9ed87f1782 · outbound

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Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Unresolved cited work

Reference 13

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Observation a8f2243f-0aef-4307-afdc-d1a630776305 · outbound

This paper cites Grigor’yan, Y.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Grigor’yan, Y

Reference 14

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Observation 71a0f192-af6f-47dc-96cc-76719f991751 · outbound

This paper cites Grigor’yan, Y.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Grigor’yan, Y

Reference 15

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Observation 91c6c9e4-641d-48c7-ba3e-0f59ada2821f · outbound

This paper cites Grigor’yan, A.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Grigor’yan, A

Reference 16

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Observation 0a3d513a-297f-4660-85fc-3b24432d2ee2 · outbound

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Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Unresolved cited work

Reference 17

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Observation bd221b13-9e40-43b4-b0c4-eaf416f2fb40 · outbound

This paper cites Hayakawa, On nonexistence of global solutions of some semilinear parabolic differential equations, Proc.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Hayakawa, On nonexistence of global solutions of some semilinear parabolic differential equations, Proc

Reference 18

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Observation 0c700f69-8e44-4011-b4a7-eed12d104e28 · outbound

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Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Unresolved cited work

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Observation 7c9d8c79-2d18-404c-aa36-fda39e37667d · outbound

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Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Unresolved cited work

Reference 20

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Observation ce688d27-a9a8-4f14-b87a-aea2bfa64a8e · outbound

This paper cites Huang, Y.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Huang, Y

Reference 21

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Observation e4dd898b-7144-4a90-82a9-985dd3347953 · outbound

This paper cites Huang, On uniqueness class for a heat equation on graphs, J.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Huang, On uniqueness class for a heat equation on graphs, J

Reference 22

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Observation 752c7af9-5640-4314-b431-490a1452887c · outbound

This paper cites Huang, M.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Huang, M

Reference 23

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Observation 38c16e80-49a1-429f-8438-7680244ae3de · outbound

This paper cites Kato, Blow-up of solutions of some nonlinear hyperbolic equations, Comm.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Kato, Blow-up of solutions of some nonlinear hyperbolic equations, Comm

Reference 24

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Observation acb4731c-eb02-4c6e-8a65-f6737dfdc004 · outbound

This paper cites Keller, C.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Keller, C

Reference 25

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Observation 6810473d-7877-46a4-9cc3-1979daf97983 · outbound

This paper cites Kostenko, D.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Kostenko, D

Reference 26

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Observation 2403a1cb-76ad-4fb6-aafd-b5c3ee137f5c · outbound

This paper cites Kuchment, H.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Kuchment, H

Reference 27

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Observation 290e953e-b287-4b57-8a53-71db283c37cf · outbound

This paper cites Lieberman, C.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Lieberman, C

Reference 28

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Observation a7e81dad-4d6a-491b-989c-7b6bd2ccb553 · outbound

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Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Unresolved cited work

Reference 29

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Observation ecb74a0c-be48-4356-aeeb-aba53814f10c · outbound

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Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Unresolved cited work

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Observation 7b3f5a20-a3ab-4678-8f7d-ff2e53086852 · outbound

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Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Unresolved cited work

Reference 31

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Observation b2ccc182-2144-45a9-8a6d-fa74836b77d2 · outbound

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Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Unresolved cited work

Reference 32

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Observation 15a52722-d57d-4db4-9272-46a482dc2c86 · outbound

This paper cites Liu, Fractional mean field equations: theory and application on finite graphs, J.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Liu, Fractional mean field equations: theory and application on finite graphs, J

Reference 33

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Observation a9ee0e9b-3453-40c8-a0de-4d36174f23c2 · outbound

This paper cites Nonexistence results for semilinear elliptic equations on metric graphs.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Nonexistence results for semilinear elliptic equations on metric graphs

Reference 34

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Observation 419759d5-7d84-4c37-a0de-393a6fc852a1 · outbound

This paper cites Mastrolia, D.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Mastrolia, D

Reference 35

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Observation a4f081fd-3469-40e7-be22-e2ea27f4b5fd · outbound

This paper cites Maury, D.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Maury, D

Reference 36

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Observation 6342e8e0-2e11-4697-88f2-772e80b98684 · outbound

This paper cites Meier, Blow-up of solutions of semilinear parabolic differential equations, Z.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Meier, Blow-up of solutions of semilinear parabolic differential equations, Z

Reference 37

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Observation 4e5bd7bc-ed13-4130-b64c-cc7d921b79bf · outbound

This paper cites Meier, On the critical exponent for reaction-diffusion equations, Arch.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Meier, On the critical exponent for reaction-diffusion equations, Arch

Reference 38

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Observation 2fb695fc-b3c0-4a9f-9fa0-4c71aad3e084 · outbound

This paper cites Meglioli, On the uniqueness for the heat equation with density on infinite graphs, J.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Meglioli, On the uniqueness for the heat equation with density on infinite graphs, J

Reference 39

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Observation b6ce2d5c-9ad1-489c-bacc-0720bf9ce161 · outbound

This paper cites Meglioli, F.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Meglioli, F

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Observation 9f047fa5-7252-4255-9468-17d1fc1b9dd4 · outbound

This paper cites Uniqueness of solutions to elliptic and parabolic equations on metric graphs.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Uniqueness of solutions to elliptic and parabolic equations on metric graphs

Reference 41

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arxiv_id, observed 2026-07-02T23:17:29.610505Z

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source=pdf_text observed=2026-06-27T18:20:28.833245Z digest=sha256:e65610bf3c1dc07121dcf4def7573fbb84e2f37ea340d21b4f92ef5d1bc673ff

Observation fda3bf8f-c093-4ead-85e4-3522a6bc4a00 · outbound

This paper cites an unresolved cited work.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Unresolved cited work

Reference 42

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Observation b2ce7b34-a9b1-4b39-83df-a2087e2b7087 · outbound

This paper cites Mitidieri, S.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Mitidieri, S

Reference 43

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Observation c9a5b538-ce21-4d12-ba76-25ae6dd3b248 · outbound

This paper cites an unresolved cited work.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Unresolved cited work

Reference 44

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source=pdf_text observed=2026-06-27T18:20:28.833245Z digest=sha256:ced5a504288083b96eeec6ea185e5bc0eef06c0063b514ff7a358489ae4f4844

Observation 9482bfeb-9dc5-4a48-a184-2a4525d050b9 · outbound

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Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Unresolved cited work

Reference 45

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source=pdf_text observed=2026-06-27T18:20:28.833245Z digest=sha256:f8292b9f9d2d2c866c7681a0f3c96b6f4d571449de357fd88167d1d820e87f44

Observation 0007f19b-0c41-4e5f-800d-69956a07673b · outbound

This paper cites Nonexistence results for the semilinear wave equation on graphs.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Nonexistence results for the semilinear wave equation on graphs

Reference 46

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arxiv_id, observed 2026-07-02T23:17:29.617765Z

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source=pdf_text observed=2026-06-27T18:20:28.833245Z digest=sha256:79c19155b63cb04163cc86fa545d93b4ebe409d75692e9ff93574c681e715d56

Observation 866cef7c-27b2-49b6-9b10-ac70029c1873 · outbound

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Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Unresolved cited work

Reference 47

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source=pdf_text observed=2026-06-27T18:20:28.833245Z digest=sha256:3d9fc43e28e2cd3ee24d22526171ef6501ef35b95287117fa80de2e874f93ce6

Observation 108847c5-e326-48cb-bac1-5c7d68ae726f · outbound

This paper cites Mugnolo, Parabolic theory of the discretep-Laplace operator, Nonlinear Anal.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Mugnolo, Parabolic theory of the discretep-Laplace operator, Nonlinear Anal

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source=pdf_text observed=2026-06-27T18:20:28.833245Z digest=sha256:3e9d6266133c8006b1db3f88db6461123fc0350d44280e95733c96c0953dd590

Observation fb1a7919-5230-42d9-ba42-12a7184a2a7d · outbound

This paper cites Mugnolo, Semigroup Methods for Evolution Equations on Networks, Springer, 2014.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Mugnolo, Semigroup Methods for Evolution Equations on Networks, Springer, 2014

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source=pdf_text observed=2026-06-27T18:20:28.833245Z digest=sha256:a28805bc6e198e58e5ef449e7834e628c5463c0985f096e0e47aa6a59f1d3263

Observation de72a883-4b2a-4c7c-bb65-cdd0256e0bae · outbound

This paper cites Sarhad, S.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Sarhad, S

Reference 50

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source=pdf_text observed=2026-06-27T18:20:28.833245Z digest=sha256:9259d3b8c31ed394e571174b3276bcf00bb94ac2eaa96b4edbc1d7c4781ca177

Observation e7fbd824-9c56-42d6-9cbd-04881a0dba26 · outbound

This paper cites Shaeffer, The equationu tt −∆u=|u| p for the critical value ofp, Proc.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Shaeffer, The equationu tt −∆u=|u| p for the critical value ofp, Proc

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Observation 0b630b96-1c5a-4bef-88c5-ab434be5a30c · outbound

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Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Unresolved cited work

Reference 52

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source=pdf_text observed=2026-06-27T18:20:28.833245Z digest=sha256:07bc7cad338dbe0133ba69061c2c96b4424dd6db8e07a7073bd32466b2f5ea7c

Observation c586013b-612f-401e-b975-9f079b102ef6 · outbound

This paper cites Slavik, P.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Slavik, P

Reference 53

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source=pdf_text observed=2026-06-27T18:20:28.833245Z digest=sha256:933e56f01043e5a4e48a92c44e330d6a18a4022b168aebc73d7b0338c8fada32

Observation c8f3af8a-85c3-4833-833d-97a2bec76911 · outbound

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Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Unresolved cited work

Reference 54

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source=pdf_text observed=2026-06-27T18:20:28.833245Z digest=sha256:035be81da66f61d9934ff675d129b4bab94c9207cd979c77a555a95e2a26ff13

Observation a427eb7a-472f-483a-8419-7adc3a77a32c · outbound

This paper cites Rubinstein, M.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Rubinstein, M

Reference 55

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source=pdf_text observed=2026-06-27T18:20:28.833245Z digest=sha256:1328c3fa148bcf29e1a5d286e9dda9c0aa24b61cfd2035ad15a65ba1550254da

Observation ed38dd4c-3e61-438a-b185-2f3e591e5abb · outbound

This paper cites Wu, On nonexistence of global solutions for a semilinear heat equation on graphs, Nonlinear Anal.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Wu, On nonexistence of global solutions for a semilinear heat equation on graphs, Nonlinear Anal

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source=pdf_text observed=2026-06-27T18:20:28.833245Z digest=sha256:130b924cb79ba0722d88de1f9562359a97a8249d61c3c3b89219932ba60c2186

Observation b8a83fd8-2398-4921-ba18-bcdd3c803410 · outbound

This paper cites Monotonicity results for semilinear parabolic equations on metric graphs.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Monotonicity results for semilinear parabolic equations on metric graphs

Reference 57

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arxiv_id, observed 2026-07-02T23:17:29.613053Z

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source=pdf_text observed=2026-06-27T18:20:28.833245Z digest=sha256:a173be2149a84037174141f5ffc37322a40181f08dc7f0f6c69d7bffa7197046

Observation 1140a8ec-69a5-4dea-b82c-66b8e0fc61e2 · outbound

This paper cites Extinction and propagation phenomena for semilinear parabolic equations on metric trees.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Extinction and propagation phenomena for semilinear parabolic equations on metric trees

Reference 58

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arxiv_id, observed 2026-07-02T23:17:29.615511Z

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source=pdf_text observed=2026-06-27T18:20:28.833245Z digest=sha256:b44317cdea2919798b00228fdae6bb32fccb09398034057dfe6022208bfc15e8

Observation 0305d3bc-1129-447e-b43a-5d4281febbd5 · outbound

This paper cites Zhang, Y.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Zhang, Y

Reference 59

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source=pdf_text observed=2026-06-27T18:20:28.833245Z digest=sha256:cb748bdd841a3dc3ac78d99c3d218431ea7f0545c6670a91b11ad369514c0609

Observation 50569138-2235-43e3-8297-ccc54a2f2573 · outbound

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Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Unresolved cited work

Reference 60

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source=pdf_text observed=2026-06-27T18:20:28.833245Z digest=sha256:fa15e9b221b5de6ea846397ae1cb4b3c2e4666ab4fa99c84d70ff0e9bebc4fb5

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