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

Published 16 Feb 2016 in math.AP | (1602.05018v1)

Abstract: In this paper we consider an initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal Neumann 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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