Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 28, No 3, (2002), 233p-240p
We study the distribution of the (complex) eigenvalues for interior boundary
value problems with dissipative boundary conditions in the
case of C 1 -smooth boundary under some natural assumption on the behaviour
of the geodesics. As a consequence we obtain energy decay estimates of
the solutions of the corresponding wave equation.