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.
Explicit decay estimates for solutions to nonlinear parabolic systems
MARRAS, MONICA
2011-01-01
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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
explicit_2010.pdf
Solo gestori archivio
Tipologia:
versione editoriale (VoR)
Dimensione
247.36 kB
Formato
Adobe PDF
|
247.36 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
