A spectral theory for the reduced wave equation with a complex refractive index

DOI10.2977/prims/1195192962zbMath0261.35066OpenAlexW2042026021MaRDI QIDQ2560564

Teruo Ikebe

Publication date: 1973

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195192962

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) Scattering theory of linear operators (47A40)

Related Items (2)

Generalized eigenfunction expansions for scattering in inhomogeneous three-dimensional media ⋮ Global properties of the wave equation on non-globally hyperbolic manifolds.

Cites Work

• Unnamed Item
• Eigenfunction expansions and scattering theory for the wave equation in an exterior region
• Wave operators and similarity for some non-selfadjoint operators
• Orthogonality of the eigenfunctions for the exterior problem connected with \(-\Delta\)
• Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
• Spectral representations and scattering for the acoustic equation in an exterior domain
• Perturbation of non-selfadjoint operators. I
• Growth properties of solutions of the reduced wave equation with a variable coefficient
• Eigenfunction expansions associated with the Schrödinger operator with a complex potential and the scattering theory

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