Propagation of singularities of solutions for a hyperbolic system with nilpotent characteristics. I

DOI10.1080/03605308208820238zbMath0501.35051OpenAlexW4252815295MaRDI QIDQ3966523

Yoshinori Morimoto, Chisato Iwasaki

Publication date: 1982

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308208820238

zbMATH Keywords

Cauchy problempropagation of singularitiesCampbell- Hausdorff formulanilpotent characteristics

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Shocks and singularities for hyperbolic equations (35L67) Analyticity in context of PDEs (35A20) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (5)

Propagation of singularities of solutions for a hyperbolic system with nilpotent characteristics, II ⋮ Propagation of wave front set in Gevrey class for an example of hyperbolic system ⋮ Precise propagation of singularities for a hyperbolic system with characteristics of variable multiplicity ⋮ Propagation of wave front sets of solutions of the Cauchy problem for a hyperbolic system in Gevrey classes ⋮ Singularities of solutions of the caught problem for symmetric hyperbolic systems

Cites Work

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• Propagation of singularities for a hyperbolic system with double characteristic
• Hypoelliptic second order differential equations
• Propagation of singularities along characteristics with nonuniform multiplicity
• Propagation of singularities of solutions for a hyperbolic system with nilpotent characteristics, II
• Parametric du probleme de cauchy pour une classe de systems hyperboliques symetrisables a caracteristiques involutives de multiplicite variable
• Fundamental solution for a hyperbolic equation with involutive characteristics of variable multiplicity
• Multi—products ofphase functions for fourier integral opertaors with an application
• Pseudo-differential operators with involutive double characteristics
• A class of hyperbolic operators with double involutive characteristics of fuchsian type
• Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91)

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