The aim of this paper is to investigate a class of reaction–diffusion parabolic systems with initial and boundary values of 4 Dirichlet type. Sufficient conditions on data are established in order to preclude blow-up and obtain that the solutions and their 5 gradients decay exponentially in time.
Qualitative properties for solutions of reaction-diffusion parabolic systems and their gradients
PIRO, STELLA
2008
Abstract
The aim of this paper is to investigate a class of reaction–diffusion parabolic systems with initial and boundary values of 4 Dirichlet type. Sufficient conditions on data are established in order to preclude blow-up and obtain that the solutions and their 5 gradients decay exponentially in time.
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