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Selçuk Journal
of
Applied Mathematics
Winter-Spring,
2005
Volume 6
Number 1
Research Center
of
Applied Mathematics
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SJAM
Winter-Spring 2005, Volume 6 - Number 1
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On Compact Integral Equation for the Acoustic Scattering Problem in a
Penetrable Inhomogeneous Medium |
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Adil Mısır
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Summary.
In this paper, the scattering problem corresponding to time-harmonic
acoustic waves in an inhomogeneous object in which
ϱi(x)
and ki(x) continuously differentiable density and
wave numbers respectively, has been investigated. First, the
scattering problem has been reduced to an integral equation. Then,
compactness of the integral operator corresponding to this integral
equation has been shown under some restriction. |
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Key
words
Scattering theory, acoustic waves, transmission problem
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Mathematics Subject Classification (2000):
60E05 |
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