Recovering Asymptotics at Infinity of Perturbations of Stratified Media

Scattering on stratified media: the microlocal properties of the scattering matrix and recovering asymptotics of perturbations

“…An announcement of some of these results and an outline of part of the proof can be found in the lecture notes [7].…”

“…In order to ensure that our function will be C' at y -yM and at y = -YM we will add an additional term whose total contribution will be of order Let X E c~(Iae), X(t) = We need in addition a boundary term at y = yM, and this is provided by the first two equations of (27). An (6)(7)(8)(9)(10).…”