Explicit decay estimates for solutions to nonlinear parabolic systems

MARRAS, MONICA

2011-01-01

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Abstract

The aim of this paper is to investigate a class of nonlinear parabolic systems with initial and boundary values of Dirichlet type, when the nonlinearities depend on the gradient of the solution. Sufficient conditions on data are established in order to preclude blow up and to deduce that the solution decays exponentially in time. Moreover, an upper of its gradient is derived.