Generalization of the Schwarz Reflection Principle in Scattering Theory for Dissipative Systems: Application to Purely Imaginary Resonant Frequencies

DOI10.1137/S0036141097329214zbMath0921.35120OpenAlexW2069634520MaRDI QIDQ4255798

Christophe Labreuche

Publication date: 27 June 1999

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141097329214

zbMATH Keywords

scattering matrixintegral operatorsimpedance boundary conditionestimate of the counting function

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Wave equation (35L05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Scattering theory of linear operators (47A40) Eigenvalue problems for integral equations (45C05)

Related Items (2)

Resonant frequencies for a system of time-harmonic elastic wave ⋮ A duality between scattering poles and transmission eigenvalues in scattering theory

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