Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/16639
Title: | Mixed boundary value problems of diffraction by a half-plane with an obstacle perpendicular to the boundary |
Author: | Castro, L.P. Kapanadze, D. |
Keywords: | Helmholtz equation Wave diffraction Boundary value problems Potential method Oscillating symbols |
Issue Date: | Jul-2014 |
Publisher: | Wiley |
Abstract: | The paper is devoted to the analysis of wave diffraction problems modelled by classes of mixed boundary conditions and the Helmholtz equation, within a half-plane with a crack. Potential theory together with Fredholm theory, and explicit operator relations, are conveniently implemented to perform the analysis of the problems. In particular, an interplay between Wiener-Hopf plus/minus Hankel operators and Wiener-Hopf operators assumes a relevant preponderance in the final results. As main conclusions, this study reveals conditions for the well-posedness of the corresponding boundary value problems in certain Sobolev spaces and equivalent reduction to systems of Wiener-Hopf equations. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/16639 |
DOI: | 10.1002/mma.2900 |
ISSN: | 1099-1476 |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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2014PostPrintCaKaMMAS.pdf | Accepted Manuscript | 268.24 kB | Adobe PDF | View/Open |
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