On some elliptic transmission problems

• Autorzy: Christodoulos Athanasiadis , Ioannis G. Stratis
• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

transmission condition; Dirichlet problem; Robin problem; diffraction problem; acoustic scattering

Kategorie tematyczne

• 35R05: Partial differential equations with discontinuous coefficients or data
• 76Q05: Hydro- and aero-acoustics
• 35P25: Scattering theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1996
• Tom: 63
• Numer: 2
• Strony: 137-154

Daty

wydano

1996

otrzymano

1994-09-26

Twórcy

autor

Christodoulos Athanasiadis

• Department of Mathematics, University of Athens, Panepistemiopolis, Gr-15784 Athens, Greece

autor

Ioannis G. Stratis

• Department of Mathematics, University of Athens, Panepistemiopolis, Gr-15784 Athens, Greece

Bibliografia

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