On the critical set for Fujita type blow-up of solutions to the discrete Laplacian parabolic equations with nonlinear source on networks

DOI10.1016/J.CAMWA.2019.02.016zbMath1442.35218OpenAlexW2921442114WikidataQ128243116 ScholiaQ128243116MaRDI QIDQ2203240

Min-Jun Choi, Soon-Yeong Chung, Jea-Hyun Park

Publication date: 5 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.02.016

zbMATH Keywords

critical exponentcritical setdiscrete LaplacianFujita blow-up

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Critical exponents in context of PDEs (35B33) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (4)

Nonexistence of global solutions for a class of nonlinear parabolic equations on graphs ⋮ On the critical set for discrete Laplacian parabolic equations with polynomial-type reactions ⋮ Existence and uniqueness theorems for some semi-linear equations on locally finite graphs ⋮ A necessary and sufficient condition for the existence of global solutions to discrete semilinear parabolic equations on networks

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