Global existence and blow-up of solutions for semilinear heat equation with nonlinear nonlocal boundary condition

2015/03/28 by Gladkov, Alexander, Kavitova, Tatiana
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1503.08296

Abstract

In this paper we consider a semilinear parabolic equation with nonlinear and nonlocal boundary condition and nonnegative initial datum. We prove some global existence results. Criteria on this problem which determine whether the solutions blow up in finite time for large or for all nontrivial initial data are also given.

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