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Completeness of the wave operators in scattering of classical waves by local perturbations of a cone shaped domain
Author(s) -
Jochmann Frank
Publication year - 1994
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670171405
Subject(s) - completeness (order theory) , mathematics , cone (formal languages) , domain (mathematical analysis) , mathematical analysis , scattering , physics , optics , algorithm
We consider wave propagation in a cone shaped unbounded domain which contains an inhomogeneous medium with non‐smooth coefficients. Existence and completeness of the wave operators are proved in the case of local perturbations of the domain and the coefficients.