We provide a proof via direct energy estimates of the optimal exponential decay rate of the semigroup generated by the weakly damped wave equation.
Conti, M., Liverani, L., Pata, V. (2022). On the optimal decay rate of the weakly damped wave equation. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 21(10), 3421-3424 [10.3934/cpaa.2022107].
On the optimal decay rate of the weakly damped wave equation
Liverani, L;
2022
Abstract
We provide a proof via direct energy estimates of the optimal exponential decay rate of the semigroup generated by the weakly damped wave equation.
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