A note on Sylvester's proof of discreteness of interior transmission eigenvalues

DOI10.1016/j.crma.2016.01.015zbMath1380.35082OpenAlexW2301494689MaRDI QIDQ1695219

Andreas Kirsch

Publication date: 7 February 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2016.01.015

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value problems for second-order elliptic systems (35J57)

Related Items (4)

The generalized linear sampling and factorization methods only depends on the sign of contrast on the boundary ⋮ Asymptotic expansions of transmission eigenvalues for small perturbations of media with generally signed contrast ⋮ New interior transmission problem applied to a single Floquet–Bloch mode imaging of local perturbations in periodic media ⋮ A perturbation problem for transmission eigenvalues

Cites Work

• On the use of \(T\)-coercivity to study the interior transmission eigenvalue problem
• The interior transmission problem
• Discreteness of Transmission Eigenvalues via Upper Triangular Compact Operators
• Ellipticity in the Interior Transmission Problem in Anisotropic Media
• Transmission Eigenvalues
• Far-Field Patterns for Acoustic Waves in an Inhomogeneous Medium
• Finite Element Methods for Maxwell's Equations
• Applications of elliptic operator theory to the isotropic interior transmission eigenvalue problem
• Inverse acoustic and electromagnetic scattering theory

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