Lower bounds for the blow-up time in a non-local reaction diffusion problem under nonlinear boundary conditions. (English) Zbl 1305.35094
Summary: This paper deals with the blow-up of the solution to a non-local reaction diffusion problem under nonlinear boundary conditions. Lower bounds for blow-up time are derived when the blow-up does occur.
MSC:
35K61 | Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations |
35K91 | Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian |
35B44 | Blow-up in context of PDEs |