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Stabilization of the wave equation in a polygonal domain with cracks

Abstract : The stabilization of the wave equation in a polygonal domain with cracks is analyzed. Using the multiplier method, we show that a boundary stabilization augmented by an internal one concentrated in a small neighbourhood of the cracks lead to the exponential stability of the problem.
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https://hal-uphf.archives-ouvertes.fr/hal-03133116
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Submitted on : Friday, February 5, 2021 - 4:24:00 PM
Last modification on : Tuesday, October 19, 2021 - 6:38:17 PM

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  • HAL Id : hal-03133116, version 1

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Gilbert Bayili, Serge Nicaise. Stabilization of the wave equation in a polygonal domain with cracks. Revista Matematica Complutense, Universidad Complutense, 2014, 27 (1), pp.259-289. ⟨hal-03133116⟩

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