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DN‐Scattering of a plane wave by wedges
Author(s) -
Merzon Anatoli E.,
De la Paz Méndez Jose E.
Publication year - 2011
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.1484
Subject(s) - wedge (geometry) , mathematics , uniqueness , limiting , scattering , plane wave , plane (geometry) , scattering amplitude , mathematical analysis , cauchy distribution , amplitude , scattering theory , geometry , physics , optics , mechanical engineering , engineering
We continue our study of a nonstationary scattering by wedges. In this paper we consider nonstationary scattering of plane waves by a ‘hard–soft’ wedge. We prove the uniqueness and existence of a solution to the corresponding DN‐Cauchy problem in appropriate functional spaces. We also give the explicit form of the solution and prove the Limiting Amplitude Principle. Copyright © 2011 John Wiley & Sons, Ltd.