Geodesic
On some elliptic transmission problems
Annales Polonici Mathematici, Tome 63 (1996) no. 2, pp. 137-154 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $ℝ^N$. 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.
DOI : 10.4064/ap-63-2-137-154
Keywords: transmission condition, Dirichlet problem, Robin problem, diffraction problem, acoustic scattering

Christodoulos Athanasiadis 1 ; Ioannis Stratis 1

1 
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Christodoulos Athanasiadis; Ioannis Stratis. On some elliptic transmission problems. Annales Polonici Mathematici, Tome 63 (1996) no. 2, pp. 137-154. doi: 10.4064/ap-63-2-137-154

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