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

Published 16 Dec 2014 in math.AP | (1412.5021v1)

Abstract: In this paper we consider an initial boundary value problem for a semilinear parabolic equation with nonlinear nonlocal boundary condition. We prove comparison principle, the existence theorem of a local solution and study the problem of uniqueness and nonuniqueness

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