In this paper we study the long time behavior for a semilinear wave equation with space-dependent and nonlinear damping term, rewritten as a rst order system. Under appropriate assumptions on the nonlinearity, we prove the exponential convergence in L^infty, as t -> infty, of the solution towards a stationary solution.
DECAY IN L^infty FOR THE DAMPED SEMILINEAR WAVE EQUATION ON A BOUNDED 1D DOMAIN
DEBORA AMADORI
;AQEL FATIMA AL-ZAHRA’;EDDA DAL SANTO
2020-01-01
Abstract
In this paper we study the long time behavior for a semilinear wave equation with space-dependent and nonlinear damping term, rewritten as a rst order system. Under appropriate assumptions on the nonlinearity, we prove the exponential convergence in L^infty, as t -> infty, of the solution towards a stationary solution.File in questo prodotto:
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