A complete characterization of Fujita's blow-up solutions for discrete \(p\)-Laplacian parabolic equations under the mixed boundary conditions on networks

DOI10.1016/J.JMAA.2020.124859zbMath1459.35264OpenAlexW3112999183MaRDI QIDQ1996153

Jaeho Hwang, Soon-Yeong Chung

Publication date: 3 March 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124859

zbMATH Keywords

critical set

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Discrete version of topics in analysis (39A12) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (2)

Regularity of Wong-Zakai approximation for non-autonomous stochastic quasi-linear parabolic equation on \(\mathbb{R}^N\) ⋮ A necessary and sufficient condition for the existence of global solutions to discrete semilinear parabolic equations on networks

Cites Work

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• Critical extinction and blow‐up exponents for fast diffusive p‐Laplacian with sources
• $\omega$-Harmonic Functions and Inverse Conductivity Problems on Networks
• Critical exponents of quasilinear parabolic equations

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