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Bounds for blow-up time in nonlinear parabolic systems

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  • 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.
    Mathematics Subject Classification: Primary: 35K50, 35K60; Secondary: 35K55.


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