Stabilization of the wave equation in a polygonal domain with cracks - Université Polytechnique des Hauts-de-France
Article Dans Une Revue Revista Matematica Complutense Année : 2014

Stabilization of the wave equation in a polygonal domain with cracks

Résumé

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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Dates et versions

hal-03133116 , version 1 (10-09-2022)

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Gilbert Bayili, Serge Nicaise. Stabilization of the wave equation in a polygonal domain with cracks. Revista Matematica Complutense, 2014, 27 (1), pp.259-289. ⟨10.1007/s13163-012-0113-z⟩. ⟨hal-03133116⟩
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