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ArticleOriginal scientific text

Title

On some elliptic transmission problems

Authors 1, 1

Affiliations

  1. Department of Mathematics, University of Athens, Panepistemiopolis, Gr-15784 Athens, Greece

Abstract

Boundary value problems for second order linear elliptic equations with coefficients having discontinuities of the first kind on an infinite number of smooth surfaces are studied. Existence, uniqueness and regularity results are furnished for the diffraction problem in such a bounded domain, and for the corresponding transmission problem in all of ℝN. The transmission problem corresponding to the scattering of acoustic plane waves by an infinitely stratified scatterer, consisting of layers with physically different materials, is also studied.

Keywords

ENG
transmission condition, Dirichlet problem, Robin problem, diffraction problem, acoustic scattering

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Annales Polonici Mathematici
1996/63/2
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Pages:
137-154
Main language of publication
English
Received
1994-09-26
Published
1996
Exact and natural sciences