# American Institute of Mathematical Sciences

2007, 2007(Special): 704-712. doi: 10.3934/proc.2007.2007.704

## Blow up and decay bounds in guasi linear parabolic problems

 1 Dipartimento di Matematica e Informatica, Viale Merello 92, 09123 Cagliari, Italy, Italy

Received  September 2006 Revised  May 2007 Published  September 2007

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 exponentially for all $t > 0$.
Citation: Monica Marras, Stella Vernier Piro. Blow up and decay bounds in guasi linear parabolic problems. Conference Publications, 2007, 2007 (Special) : 704-712. doi: 10.3934/proc.2007.2007.704
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