We consider two classes of semilinear wave equations with nonnegative damping which may be of type “on–off” or integrally positive. In both cases we give a sufficient condition for the asymptotic stability of the solutions. In the case of integrally positive damping we show that such a condition is also necessary.
Stability of solutions for some classes of nonlinear damped wave equations
MUGNAI, Dimitri
2008
Abstract
We consider two classes of semilinear wave equations with nonnegative damping which may be of type “on–off” or integrally positive. In both cases we give a sufficient condition for the asymptotic stability of the solutions. In the case of integrally positive damping we show that such a condition is also necessary.File in questo prodotto:
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