Limiting amplitude principle for acoustic propagators in perturbed stratified fluids
Limiting amplitude principle for acoustic propagators in perturbed stratified fluids
Introduction.Recently the spectral problems for acoustic operators L--:--c(x)2z] in perturbed stratified fluids have been studied by several authors ([1], [2], [7], [8]).Under suitable assumptions on the behavior of sound speed c(x) at infinity, non-existence of eigenvalues and the principle of limiting absorption have been proved for the operator L. In …