Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/16653
Title: | Diffraction by a half-plane with different face impedances on an obstacle perpendicular to the boundary |
Author: | Castro, L.P. Kapanadze, D. |
Keywords: | Helmholtz equation Wave diffraction Impedance boundary value problems Potential method Oscillating symbols Wiener-Hopf operator Hankel operator |
Issue Date: | 2014 |
Publisher: | Mathematical Research Publishers |
Abstract: | The paper is devoted to study classes of plane wave diffraction problems by a region which involves a crack with impedance boundary conditions. Conditions on the wave number and impedance parameters are found to ensure the well-posedness of the problems in a scale of Bessel potential spaces. Under such conditions, representations of the solutions are also obtained upon the consideration of some associated operators which, in a sense, combine operators of Wiener-Hopf and Hankel type. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/16653 |
ISSN: | 1938-9787 |
Publisher Version: | http://www.math-res-pub.org/cma |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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2014CaKaPostPrintCommMathAn.pdf | Accepted Manuscript | 130.14 kB | Adobe PDF | View/Open |
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