Comportement asymptotique de solutions de certains problèmes mixtes pour des systèmes hyperboliques symétriques à coefficients constants

DOI10.2977/prims/1195194389zbMath0242.35056OpenAlexW2021186177MaRDI QIDQ2554114

Mutsuhide Matsumura

Publication date: 1970

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/1195194389

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (5)

Eigenfunction expansions for symmetric systems of first order in the half-space $R_ + ^n $ ⋮ The principle of limit amplitude for symmetric hyperbolic systems of first order in the half-space \(R^n_+\) ⋮ Eigenfunction expansions for symmetric systems of first order in the half-space \(R^n\) ⋮ Boundary waves on perfect conductors ⋮ Elastic waves in the half space \(R^2_+\)

Cites Work

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• Hyperbolic initial-boundary value problems in two unknowns
• Local boundary conditions for dissipative symmetric linear differential operators
• The decay of solutions of the exterior initial-boundary value problem for the wave equation
• The exponential decay of solutions of the wave equation in the exterior of a star-shaped obstacle
• Comportement des solutions de quelques problèmes mixtes pour certains systèmes hyperboliques symétriques à coefficients constants
• Sur l'analyticité de la fonction spectrale de l'opérateur $\Delta$ relatif au problème extérieur

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