SIAM Journal on Control and Optimization, Vol.53, No.4, 2558-2581, 2015
THE MULTIDIMENSIONAL WAVE EQUATION WITH GENERALIZED ACOUSTIC BOUNDARY CONDITIONS I: STRONG STABILITY
We study the wave equation on a domain of R-d, 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.