On-diagonal lower estimate of heat kernels for locally finite graphs and its application to the semilinear heat equations
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Publication:2334890
DOI10.1016/J.CAMWA.2018.05.021zbMath1423.35233OpenAlexW2809496234WikidataQ129578100 ScholiaQ129578100MaRDI QIDQ2334890
Publication date: 8 November 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.05.021
Initial value problems for second-order parabolic equations (35K15) Signed and weighted graphs (05C22) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Heat kernel (35K08)
Related Items (6)
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 of nonnegative solutions of an abstract semilinear heat equation with convex source ⋮ BLOW-UP PROBLEMS FOR FUJITA-TYPE PARABOLIC SYSTEM INVOLVING TIME-DEPENDENT COEFFICIENTS ON GRAPHS ⋮ Blow-up for a semilinear heat equation with Fujita's critical exponent on locally finite graphs ⋮ MONOTONICITY AND ASYMPTOTIC PROPERTIES OF SOLUTIONS FOR PARABOLIC EQUATIONS VIA A GIVEN INITIAL VALUE CONDITION ON GRAPHS
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