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Journal Articles SIAM Journal on Control and Optimization Year : 2015

The multidimensional wave equation with generalized acoustic boundary conditions I: Strong stability

Abstract

We study the wave equation on a domain of ℝd, d ≥ 2, with dynamical boundary control applied on a part of the boundary and a Dirichlet boundary condition on the remaining part. We prove the asymptotic stability and nonuniform stability of the associated semigroup.
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Dates and versions

hal-03134826 , version 1 (08-02-2021)

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Zainab Abbas, Serge Nicaise. The multidimensional wave equation with generalized acoustic boundary conditions I: Strong stability. SIAM Journal on Control and Optimization, 2015, 53 (4), pp.2558-2581. ⟨10.1137/140971336⟩. ⟨hal-03134826⟩
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