Blowup rate for heat equation in Lipschitz domains with nonlinear heat source terms on the boundary

DOI10.1016/S0022-247X(02)00002-1zbMath1006.35054OpenAlexW1994217021WikidataQ116009555 ScholiaQ116009555MaRDI QIDQ1604588

Jong-Shenq Guo, Bei Hu

Publication date: 8 July 2002

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00002-1

zbMATH Keywords

nonlinear boundary conditionsnonradially symmetric data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (11)

Uniform blow-up rate for compressible reactive gas model ⋮ Blow-up rate for radially symmetric solutions of some parabolic equations with nonlinear boundary conditions ⋮ Blow-up rate estimates for a parabolic system with multiple nonlinearities ⋮ Blow-up analysis for a system of heat equations with nonlinear flux which obey different laws ⋮ Transient behavior of solutions to a class of nonlinear boundary value problems ⋮ Rate estimates of gradient blowup for a heat equation with exponential nonlinearity ⋮ Properties of positive solutions to a nonlinear parabolic problem ⋮ Blowup estimates for a parabolic system in a three-species cooperating model ⋮ Blow-up rate estimates for a doubly coupled reaction-diffusion system ⋮ Optimal blowup time for controlled ordinary differential equations ⋮ Heat equation with a nonlinear boundary condition and uniformly local \(L^r\) spaces

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