On the existence of transmission eigenvalues in an inhomogeneous medium

DOI10.1080/00036810802713966zbMath1168.35448OpenAlexW1994915741MaRDI QIDQ5190733

Houssem Haddar, Fioralba Cakoni

Publication date: 27 July 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802713966

zbMATH Keywords

inhomogeneous mediuminverse scatteringinterior transmission problemtransmission eigenvalues

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Composite media; random media in optics and electromagnetic theory (78A48) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

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Cites Work

• Unnamed Item
• The interior transmission problem
• An integral equation approach and the interior transmission problem for Maxwell's equations
• The linear sampling method for anisotropic media
• A variational approach for the solution of the electromagnetic interior transmission problem for anisotropic media
• The interior transmission problem for anisotropic Maxwell's equations and its applications to the inverse problem
• The Interior Transmission Problem and Inverse Scattering from Inhomogeneous Media
• On the use of transmission eigenvalues to estimate the index of refraction from far field data
• Transmission Eigenvalues
• Far-Field Patterns for Acoustic Waves in an Inhomogeneous Medium

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