Bounds for blow-up time in nonlinear parabolic system

MARRAS, MONICA;PIRO, STELLA

2011-01-01

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Abstract

We consider a nonlinear parabolic system with Neumann boundary conditions which solution may blow up in finite 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.