Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions

DOI10.1007/S11253-016-1217-2zbMath1490.35216arXiv1412.5021OpenAlexW2221138195MaRDI QIDQ1729420

T. V. Kavitova, Alexander Gladkov

Publication date: 27 February 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5021

zbMATH Keywords

uniquenesscomparison principlenonuniquenessexistence of local solutions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Comparison principles in context of PDEs (35B51)

Related Items (6)

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 ⋮ Blow-up analyses in reaction-diffusion equations with nonlinear nonlocal boundary flux

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