# American Institute of Mathematical Sciences

2011, 2011(Special): 1025-1031. doi: 10.3934/proc.2011.2011.1025

## Bounds for blow-up time in nonlinear parabolic systems

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

Received  July 2010 Revised  February 2011 Published  October 2011

We consider a nonlinear parabolic system with Neumann boundary conditions which solution may blow up in nite time $t*$ We determine a lower bound for $t*$ by using a Sobolev type inequality. In addition an upper bound for $t*$ is obtained, under alternative conditions on the non linearities.
Citation: Monica Marras, Stella Vernier Piro. Bounds for blow-up time in nonlinear parabolic systems. Conference Publications, 2011, 2011 (Special) : 1025-1031. doi: 10.3934/proc.2011.2011.1025
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