Some remarks on the asymptotic behaviour of the solutions of a class of parabolic problems
Gérard A. Philippin, V. Proytcheva · Mathematical Methods in the Applied Sciences · 2005
Abstract This paper deals with a class of semilinear parabolic problems. We establish sufficient conditions on the data forcing the solution to blow up at finite time τ and derive an upper bound for τ. Moreover, we show that if the problem is modified in some way, the solution decays exponentially in time and depends continuously on the data. Copyright © 2005 John Wiley & Sons, Ltd.