On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces

DOI10.1002/mma.277zbMath0998.35034OpenAlexW2103716861MaRDI QIDQ2767546

Rainer Kress, David Colton

Publication date: 29 January 2002

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.277

zbMATH Keywords

approximationvariational methodsMaxwell's equationsHelmholtz equation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electromagnetic theory (general) (78A25)

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Cites Work

• Grenz- und Sprungrelationen für Potentiale mit quadratsummierbarer Flächenbelegung
• Inverse acoustic and electromagnetic scattering theory.
• AN APPROXIMATION PROPERTY OF IMPORTANCE IN INVERSE SCATTERING THEORY
• The direct and inverse scattering problems for partially coated obstacles
• An exterior boundary-value problem for the Maxwell equations with boundary data in a Sobolev space
• Recent Developments in Inverse Acoustic Scattering Theory

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