Blow-up problem for semilinear heat equation with nonlinear nonlocal boundary condition

DOI10.1080/00036811.2015.1080353zbMath1362.35163arXiv1503.08296OpenAlexW2333690854WikidataQ58273644 ScholiaQ58273644MaRDI QIDQ2825390

Tatiana Kavitova, Alexander Gladkov

Publication date: 7 October 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.08296

zbMATH Keywords

blow-upsemilinear heat equationnonlocal boundary condition

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (13)

Asymptotic properties of blow-up solutions in reaction-diffusion equations with nonlocal boundary flux ⋮ On global existence of solutions of initial boundary value problem for a system of semilinear parabolic equations with nonlinear nonlocal Neumann boundary conditions ⋮ Blow-up problem for semilinear heat equation with nonlinear nonlocal Neumann boundary condition ⋮ Blow-up analysis for heat equation with a nonlocal weighted exponential boundary flux ⋮ Unnamed Item ⋮ Global existence and blow-up of solutions of nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition ⋮ Blow-up estimate in a reaction-diffusion equation with nonlinear nonlocal flux and source ⋮ Global existence of solutions of a semilinear heat equation with nonlinear memory condition ⋮ Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition ⋮ Blow-up analyses in reaction-diffusion equations with nonlinear nonlocal boundary flux ⋮ Blow-up solutions for reaction diffusion equations with nonlocal boundary conditions ⋮ Unnamed Item ⋮ Blow-up phenomena for p-Laplacian parabolic equations under nonlocal boundary conditions

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