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 of some nonlinear damped wave equations
FRAGNELLI, Genni;
2008-01-01
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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