The aim of this paper is to study the acoustic propagator H in a perturbed multistratified domain Omega with the conjugate operator method. H denotes the self-adjoint operator - del c(x)del in L-2(Omega) with a Dirichlet condition at the boundary partial derivative Omega. Here c denotes the propagation velocity depending on the nature of the stratification of Omega. We shall give some spectral properties of H and we establish the limiting absorption principle in an optimal scale of Besov spaces. (C) 1998 Academic Press. [References: 12]
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