Blow-up phenomena for a system of semilinear parabolic equations with nonlinear boundary conditions

摘要

This paper deals with the blow-up phenomena for a system of parabolic equations with nonlinear boundary conditions. We show that under some conditions on the nonlinearities, blow-up occurs at some finite time. We also obtain upper and lower bounds for the blow-up time when blow-up occurs. Copyright (c) 2014 John Wiley & Sons, Ltd.