The Multidimensional Wave Equation with Generalized Acoustic Boundary Conditions II: Polynomial Stability

Z. Abbas , Serge Nicaise (1)

1 LAMAV - Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015

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 polynomial stability of our model by two different methods: the resolvent and multiplier methods. Some illustrative examples are presented.

Mots clés: Acoustic boundary conditions; Stability; Wave equation

Domaines: Mathématiques [math]

Z. Abbas, Serge Nicaise. The Multidimensional Wave Equation with Generalized Acoustic Boundary Conditions II: Polynomial Stability. SIAM Journal on Control and Optimization, 2015, 53 (4), pp.2582-2607. ⟨10.1137/140971348⟩. ⟨hal-03134838⟩