We analyze the asymptotic behavior of a nonlinear wave equation in 2-D with damping. By using energy estimates, we show that small perturbations in H^s of a plane diffusion wave decay in time with polynomial rates toward the solution of a related parabolic equation.
Diffusive Profile for the 2-D Nonlinear Damped Wave Equation
MARCATI, PIERANGELO
1998-01-01
Abstract
We analyze the asymptotic behavior of a nonlinear wave equation in 2-D with damping. By using energy estimates, we show that small perturbations in H^s of a plane diffusion wave decay in time with polynomial rates toward the solution of a related parabolic equation.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.