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

Alexander Gladkov

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arXiv · 1602.05018

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

Alexander Gladkov

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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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Alexander Gladkov. 2016-02-16. Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition. https://arxiv.org/abs/1602.05018

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