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On some elliptic transmission problems

100%
Athanasiadis C., Stratis I.
Annales Polonici Mathematici
|
1996
|
tom 63
|
nr 2
137-154
EN
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.
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On a transmission problem in elasticity

100%
Athanasiadis C., Stratis I.
Annales Polonici Mathematici
|
1998
|
tom 68
|
nr 3
281-300
EN
The transmission problem for the reduced Navier equation of classical elasticity, for an infinitely stratified scatterer, is studied. The existence and uniqueness of solutions is proved. Moreover, an integral representation of the solution is constructed, for both the near and the far field.
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