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:
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