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.
Bounds for blow-up time in nonlinear parabolic system
MARRAS, MONICA;PIRO, STELLA
2011-01-01
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.
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