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2014 Diffraction by a Half-plane with Different Face Impedances on an Obstacle Perpendicular to the Boundary
L. P. Castro, D. Kapanadze
Commun. Math. Anal. 17(2): 45-65 (2014).

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.

Citation

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L. P. Castro. D. Kapanadze. "Diffraction by a Half-plane with Different Face Impedances on an Obstacle Perpendicular to the Boundary." Commun. Math. Anal. 17 (2) 45 - 65, 2014.

Information

Published: 2014
First available in Project Euclid: 18 December 2014

zbMATH: 1327.35074
MathSciNet: MR3292959

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Rights: Copyright © 2014 Mathematical Research Publishers

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Vol.17 • No. 2 • 2014
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