Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition

DOI10.1002/MMA.6286zbMath1445.35084arXiv1903.11742OpenAlexW2923031905MaRDI QIDQ5116889

Tatiana Kavitova, Alexander Gladkov

Publication date: 19 August 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.11742

zbMATH Keywords

nonlocal nonlinear boundary conditionnonlocal nonlinear parabolic equation

Mathematics Subject Classification ID

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

Related Items (4)

Blow-up analysis for heat equation with a nonlocal weighted exponential boundary flux ⋮ Nonexistence and existence of solutions with prescribed norm for semilinear nonlocal elliptic equations ⋮ Global existence and blow-up of solutions of nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition ⋮ Blowup time estimates for the heat equation with a nonlocal boundary condition

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