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Title: Pseudo-Differential Operators in a Wave Diffraction Problem with Impedance Conditions
Authors: Castro, L.P.
Kapanadze, D.
Keywords: Pseudo-Differential Operator
Helmholtz Equation
Boundary-Value Problem
Wave Diffraction
Hankel Function
Issue Date: 2008
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Fractional Calculus and Applied Analysis, Vol. 11, No 1, (2008), 15p-26p
Abstract: We consider an impedance boundary-value problem for the Helmholtz equation which models a wave diffraction problem with imperfect conductivity on a strip. Pseudo-differential operators are used to deal with this wave diffraction problem. Therefore, single and double layer potentials allow a reformulation of the problem into a system of integral equations. By using operator theoretical methods, the well-posedness of the problem is obtained for a set of impedance parameters, and in a framework of Bessel potential spaces.
Description: Mathematics Subject Classification: 35J05, 35J25, 35C15, 47H50, 47G30
ISSN: 1311-0454
Appears in Collections:2008

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