On nonexistence of global solutions for a semilinear heat equation on graphs

DOI10.1016/J.NA.2018.01.012zbMath1388.35120OpenAlexW2793354145MaRDI QIDQ1744657

Yiting Wu

Publication date: 19 April 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2018.01.012

zbMATH Keywords

semilinear heat equationgraphsheat kernel estimate

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (9)

BLOW-UP PROBLEMS FOR GENERALIZED FUJITA-TYPE EQUATIONS ON GRAPHS ⋮ LOCAL EXISTENCE AND BLOW-UP OF SOLUTIONS TO FUJITA-TYPE EQUATIONS INVOLVING GENERAL ABSORPTION TERM ON FINITE GRAPHS ⋮ Blow-up on metric graphs and Riemannian manifolds ⋮ BLOW-UP PROBLEMS FOR FUJITA-TYPE PARABOLIC SYSTEM INVOLVING TIME-DEPENDENT COEFFICIENTS ON GRAPHS ⋮ On the critical set for Fujita type blow-up of solutions to the discrete Laplacian parabolic equations with nonlinear source on networks ⋮ Blow-up for a semilinear heat equation with Fujita's critical exponent on locally finite graphs ⋮ Nonlinear Schrödinger equation with growing potential on infinite metric graphs ⋮ Multiple solutions for a generalized Chern-Simons equation on graphs ⋮ MONOTONICITY AND ASYMPTOTIC PROPERTIES OF SOLUTIONS FOR PARABOLIC EQUATIONS VIA A GIVEN INITIAL VALUE CONDITION ON GRAPHS

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