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Limiting Amplitude principle in the scattering by wedges
Author(s) -
Komech A. I.,
Merzon A. E.
Publication year - 2006
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.719
Subject(s) - limiting , mathematics , wedge (geometry) , amplitude , scattering , scattering amplitude , diffraction , mathematical analysis , integral equation , plane (geometry) , scattering theory , mathematical physics , geometry , optics , physics , mechanical engineering , engineering
We consider a nonstationary scattering of plane waves by a wedge. We prove that the Sommerfeld‐type integral, constructed in ( Math. Meth. Appl. Sci. 2005; 28 :147–183; Proc. Int. Seminar ‘ Day on Diffraction‐2003 ’, University of St. Petersburg, 2003; 151–162), is a classical smooth solution from a functional space, and prove the Limiting Amplitude principle. Copyright © 2006 John Wiley & Sons, Ltd.