Exponential energy decay of solutions of elastic wave equations with the Dirichlet condition.
Kazuhiro Yamamoto · MATHEMATICA SCANDINAVICA · 1989
The purpose of this paper is to prove exponential energy decay of solutions of elastic wave equations with the Dirichlet condition. To prove it we shall use a translation representation of the unitary group which is used to express solutions, and show that there is no point spectrum of the infinitesimal generator of the unitary group