Semilinear heat equation with absorption and a nonlocal boundary condition

DOI10.1080/00036811.2011.601297zbMath1268.35071OpenAlexW2069560122WikidataQ58295031 ScholiaQ58295031MaRDI QIDQ4650248

Mohammed Guedda, Alexander Gladkov

Publication date: 27 November 2012

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

Full work available at URL: https://doi.org/10.1080/00036811.2011.601297

zbMATH Keywords

uniquenessnonlinear boundary conditionsemilinear parabolic equationnonlocal boundary conditionnonnegative initial datapositive initial data

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Comparison principles in context of PDEs (35B51)

Related Items (13)

Properties of solutions for a reaction-diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition ⋮ On the existence of global solutions of a system of semilinear parabolic equations with nonlinear nonlocal boundary conditions ⋮ 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 analysis for heat equation with a nonlocal weighted exponential boundary flux ⋮ New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations ⋮ A reaction-diffusion system with nonlinear nonlocal boundary conditions ⋮ Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions ⋮ Some eigenvalue problems with non-local boundary conditions and applications ⋮ Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition ⋮ Blow-up problem for semilinear heat equation with absorption and a nonlocal boundary condition ⋮ Global existence and blow-up behavior for a degenerate and singular parabolic equation with nonlocal boundary condition ⋮ Unnamed Item ⋮ Blow-up for a localized singular parabolic equation with weighted nonlocal nonlinear boundary conditions

Cites Work

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• On the uniqueness and non‐uniqueness of solutions of initial value problems for some quasi‐linear parabolic equations
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