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Wave diffraction by a strip with first and second kind boundary conditions: the real wave number case
Author(s) -
Castro L. P.,
Kapanadze D.
Publication year - 2008
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510687
Subject(s) - mathematics , diffraction , bessel function , boundary (topology) , boundary value problem , class (philosophy) , plane wave , mathematical analysis , plane (geometry) , wavenumber , geometry , optics , physics , computer science , artificial intelligence
We prove unique existence of solution for a class of plane wave diffraction problems by a strip with first and second kind boundary conditions. This is done in a Bessel potential spaces framework, and for a real (noncomplex) wave number. At the end, results about the regularity (and data dependence) of the solution are exhibited upon the initial setting and the boundary parameters. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)