Geodesic
Scattering Theory And Spectral Representations For General Wave Equations With Short Range Perturbations
Canadian journal of mathematics, Tome 43 (1991) no. 2, pp. 435-448

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we shall develop the scattering theory introduced by Lax and Phillips [5] for the following general wave equation; where Ω is an exterior domain Rn(n ≥ 3) with the smooth boundary δΩ and B is either a Dirichlet boundary condition or of the form Bu = Vi(x)aij(x)δju+σ(x)u with the unit outer normal vector v(x) = (v 1 , ... , vn) at x ∈ δ Ω. The precise assumptions on α(x), aij(x),q(x), σ(x) are denoted below. If Ω is an inhomogeneous medium with the density ρ (x), the propagation of waves is described by (1.1) with a(x) = a(x)2 ρ(x), aij(x) = ρ-l(x) δij and q(x) = 0 with the velocity a(x).
DOI : 10.4153/CJM-1991-026-0
Mots-clés : 35L, 35P 
Yamamoto, Kazuhiro. Scattering Theory And Spectral Representations For General Wave Equations With Short Range Perturbations. Canadian journal of mathematics, Tome 43 (1991) no. 2, pp. 435-448. doi: 10.4153/CJM-1991-026-0
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1991-026-0/}
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