Blow-up for the heat equation with a general memory boundary condition

DOI10.3934/CPAA.2012.11.2147zbMath1264.35058OpenAlexW2322232356MaRDI QIDQ1948028

Keng Deng, Zhihua Dong

Publication date: 30 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2012.11.2147

zbMATH Keywords

nonlinear integral boundary conditionsblow-up on boundary

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Blow-up in context of PDEs (35B44) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

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Life span bounds for reaction-diffusion equation with a space-time integral source term ⋮ Global existence of solutions of a semilinear heat equation with nonlinear memory condition ⋮ Blow-up problem for semilinear heat equation with nonlinear nonlocal boundary condition ⋮ Global behavior of solutions to the fast diffusion equation with boundary flux governed by memory ⋮ Unnamed Item

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