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