Transmission eigenvalues and a problem of Hans Lewy

DOI10.1016/S0377-0427(99)00334-9zbMath0957.65093OpenAlexW1988116167MaRDI QIDQ1570984

Lassi Päivärinta, David Colton

Publication date: 9 July 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00334-9

zbMATH Keywords

Poincaré inequalityinverse scatteringtransmission eigenvalue problem

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

Sharp Weyl Law for Signed Counting Function of Positive Interior Transmission Eigenvalues ⋮ Discreteness of interior transmission eigenvalues revisited ⋮ The linear sampling method for anisotropic media

Cites Work

• Unnamed Item
• On the uniqueness of a spherically symmetric speed of sound from transmission eigenvalues
• Inverse acoustic and electromagnetic scattering theory.
• On the reflection laws of second order differential equations in two independent variables
• Elliptic Partial Differential Equations of Second Order
• Reconstruction of a Spherically Symmetric Speed of Sound
• Far-Field Patterns for Acoustic Waves in an Inhomogeneous Medium
• The inverse electromagnetic scattering problem for an anisotropic medium