Scattering Theory for a Stratified Acoustic Strip with Short- or Long-Range Perturbations

  • Elizabeth Croc

    CMI-Université d'Aix-Marseille I, France
  • Viorel Iftimie

    Romanian Academy, Bucharest, Romania

Abstract

We consider the acoustic propagator acting in with and a bounded open set in , . The real-valued function belongs to , and is bounded from below by . We assume there exist two strictly positive constants and and two perturbations, of short-range type and of long-range type, such that on , . We build two modified free evolutions , , such that the wave operators , , exist and are asymptotically complete.

Cite this article

Elizabeth Croc, Viorel Iftimie, Scattering Theory for a Stratified Acoustic Strip with Short- or Long-Range Perturbations. Publ. Res. Inst. Math. Sci. 38 (2002), no. 1, pp. 93–111

DOI 10.2977/PRIMS/1145476417