Blow up and decay bounds in quasilinear parabolic problems

MARRAS, MONICA;PIRO, STELLA

2007-01-01

---

Abstract

Aim of this paper is to investigate a class of quasilinear parabolic problems whose solutions may blow up at some finite time. We establish conditions on data sufficient to preclude blow up and to insure that the solution and its spatial gradient decay exponential for all t>0.