Eigenfunction expansions for symmetric systems of first order in the half-space $R_ + ^n $

DOI10.3792/PJA/1195519101zbMath0302.35073OpenAlexW1968320977MaRDI QIDQ4057026

Seiichiro Wakabayashi

Publication date: 1974

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195519101

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Cites Work

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• Eigenfunction expansions and scattering theory for the wave equation in an exterior region
• Orthogonality of the eigenfunctions for the exterior problem connected with \(-\Delta\)
• Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
• Wave operators and asymptotic solutions of wave propagation problems of classical physics
• Spectral and scattering theory for symmetric hyperbolic systems in an exterior domain
• Comportement asymptotique de solutions de certains problèmes mixtes pour des systèmes hyperboliques symétriques à coefficients constants
• Eigenfunction expansions and scattering theory for wave propagation problems of classical physics
• Eigenfunction expansion associated with the operator-$\Delta$ in the exterior domain

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