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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12571/3233
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