A reaction-diffusion system with nonlinear nonlocal boundary conditions

DOI10.1155/2014/523656zbMath1302.35210OpenAlexW2166457008WikidataQ59049823 ScholiaQ59049823MaRDI QIDQ457917

Alexandr Nikitin, Alexander Gladkov

Publication date: 30 September 2014

Published in: International Journal of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/523656

zbMATH Keywords

uniquenesslocal existencenonuniquenessnonnegative initial data

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (8)

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 ⋮ Unnamed Item ⋮ New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations ⋮ Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions ⋮ Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition ⋮ Asymptotic behavior of the solution of a diffusion equation with nonlocal boundary conditions ⋮ Blow-up for a parabolic system with nonlocal sources and nonlocal boundary conditions

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