Propagation of singularities of fundamental solutions of hyperbolic mixed problems

DOI10.2977/PRIMS/1195187870zbMath0431.35058OpenAlexW1984158948MaRDI QIDQ1138161

Seiichiro Wakabayashi

Publication date: 1979

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/1195187870

zbMATH Keywords

reflectionfundamental solutionshyperbolic systemspropagation of singularitieswave front setslateral waveboundary wavehyperbolic mixed problems with constant coefficients

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Analyticity in context of PDEs (35A20) Parabolic equations and parabolic systems (35K99) Partial differential equations of mixed type and mixed-type systems of partial differential equations (35M99)

Related Items (2)

E-well posedness of mixed initial-boundary value problem with constant coefficients in a quarter space. II ⋮ A necessary condition for the mixed problem to be c^∞well-posed

Cites Work

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• A characterization of the hyperbolic mixed problems in a quarter space for differential operators with constant coefficients
• Singularities of the Riemann functions of hyperbolic mixed problems in a quarter-space
• Analytic wave front sets of the Riemann functions of hyperbolic mixed problems in a quarter-space
• \(E\)-well posedness for hyperbolic mixed problems with constant coefficients
• Lacunas for hyperbolic differential operators with constant coefficients.I
• Necessary and sufficient conditions for the hyperbolicity of polynomials with hyperbolic principal part
• Fundamental solutions of mixed problems for hyperbolic equations with constant coefficients

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