In this paper we consider the asymptotic stability of the solutions to the nonlinear damped wave equation in 2-D of space. In particular we deal with initial data which are small perturbation (in Sobolev norms) of a self- similar plane diffusive profile which solve a related parabolic equation. The results are achieved by using the classical energy method and in addition we provide polynomial rates of convergences.
Asymptotic stability of plane diffusion waves for the 2-D quasilinear wave equation
MARCATI, PIERANGELO
1999-01-01
Abstract
In this paper we consider the asymptotic stability of the solutions to the nonlinear damped wave equation in 2-D of space. In particular we deal with initial data which are small perturbation (in Sobolev norms) of a self- similar plane diffusive profile which solve a related parabolic equation. The results are achieved by using the classical energy method and in addition we provide polynomial rates of convergences.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
