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The scattering theory of C. Wilcox in elasticity
Author(s) -
Mabrouk Mongi,
Helali Zouheir
Publication year - 2002
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.325
Subject(s) - unitarity , mathematics , elasticity (physics) , compact space , scattering , obstacle , mathematical analysis , scattering theory , mathematical physics , physics , quantum mechanics , law , thermodynamics , political science
We extend the abstract time‐dependent scattering theory of C.H. Wilcox to the case of elastic waves. Most of the results are proved with the minimal assumption that the obstacle satisfies the energy local compactness condition (ELC). This holds especially for the existence and unitarity of the wave operators. Copyright © 2002 John Wiley & Sons, Ltd.