The direct scattering problem: Uniqueness and existence for anisotropic media

DOI10.1090/S0033-569X-2011-01244-3zbMath1232.35036OpenAlexW1964854711MaRDI QIDQ3104443

Panagiotis Emmanouil

Publication date: 19 December 2011

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-2011-01244-3

zbMATH Keywords

Helmholtz equationexistence and uniquenesstransmission problemsplane acoustic waves

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Scattering theory of linear operators (47A40) Linear integral equations (45A05)

Cites Work

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• Qualitative methods in inverse scattering theory. An introduction
• The MUSIC-algorithm and the factorization method in inverse scattering theory for inhomogeneous media
• Transmission problems for the Helmholtz equation
• THE MULTI-LAYERED ELLIPSOID WITH A SOFT CORE IN THE PRESENCE OF A LOW-FREQUENCY ACOUSTIC WAVE
• On some elliptic transmission problems

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