On the existence of global solutions of a system of semilinear parabolic equations with nonlinear nonlocal boundary conditions

DOI10.1134/S0012266116040078zbMath1362.35162OpenAlexW2401807052MaRDI QIDQ304639

Alexander Gladkov, Alexandr Nikitin

Publication date: 26 August 2016

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266116040078

zbMATH Keywords

reaction-diffusion systemnonlocal boundary conditionscomparison principlesexistence and nonexistence of global solutions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Existence problems for PDEs: global existence, local existence, non-existence (35A01) 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 (7)

On global existence of solutions of initial boundary value problem for a system of semilinear parabolic equations with nonlinear nonlocal Neumann boundary conditions ⋮ On the absence of global solutions of a system of ordinary differential equations ⋮ Blow-up problem for semilinear heat equation with nonlinear nonlocal Neumann boundary condition ⋮ Rigorous derivation of the Oberbeck-Boussinesq approximation revealing unexpected term ⋮ Unnamed Item ⋮ Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition ⋮ Global existence and blow-up behavior for a degenerate and singular parabolic equation with nonlocal boundary condition

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