Research Article
The Problem of Scattering by a Mixture of Cracks and Obstacles
Department of Mathematics, Central China Normal University, Wuhan 430079, China
Boundary Value Problems 2009, 2009:524846 doi:10.1155/2009/524846
Published: 30 November 2009Abstract
Consider the scattering of an electromagnetic time-harmonic plane wave by an infinite
cylinder having an open crack 
and a bounded domain 
in 
as cross section. We assume that the crack 
is divided into two parts, and one of the two parts is (possibly) coated on one side
by a material with surface impedance 
. Different boundary conditions are given on 
and 
. Applying potential theory, the problem can be reformulated as a boundary integral
system. We obtain the existence and uniqueness of a solution to the system by using
Fredholm theory.
