Open AccessA Reaction-Diffusion System with Nonlinear Nonlocal Boundary Conditions
Author(s) -
Alexander Gladkov,
A. I. Nikitin
Publication year - 2014
Publication title -
international journal of partial differential equations
Language(s) - English
Resource type - Journals
eISSN - 2356-7082
pISSN - 2314-6524
DOI - 10.1155/2014/523656
Subject(s) - uniqueness , boundary value problem , nonlinear system , reaction–diffusion system , mathematics , mathematical analysis , diffusion , boundary (topology) , mixed boundary condition , physics , thermodynamics , quantum mechanics
We consider initial boundary value problem for a reaction-diffusion system with nonlinear and nonlocal boundary conditions and nonnegative initial data. We prove local existence, uniqueness, and nonuniqueness of solutions
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