On the optimal decay rate of the weakly damped wave equation

Monica Conti; Lorenzo Liverani; Vittorino Pata

doi:10.3934/cpaa.2022107

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2022, Volume 21, Issue 10: 3421-3424. Doi: 10.3934/cpaa.2022107

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On the optimal decay rate of the weakly damped wave equation

Politecnico di Milano - Dipartimento di Matematica, Via Bonardi 9, 20133 Milano, Italy

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Received: June 2022

Early access: June 28, 2022

Published online: June 28, 2022

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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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Mathematics Subject Classification: Primary: 35B40, 35L05; Secondary: 47D06.

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References

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