Singularities of solutions of the caught problem for symmetric hyperbolic systems

DOI10.1080/03605308408820360zbMath0575.35054OpenAlexW1989782200MaRDI QIDQ3695697

Seiichiro Wakabayashi

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/03605308408820360

zbMATH Keywords

Cauchy problemsymmetric hyperbolic systemspropagation of singularitieswave front sets

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Initial value problems for first-order hyperbolic systems (35L45) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items (12)

The Cauchy problem for hyperbolic operators of strong type ⋮ Propagation of singularities for a class of hyperbolic operators with triple characteristics ⋮ 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 ⋮ On the propagation of singularities for pseudo-differential operators with characteristics of variable multiplicity ⋮ The propagation of singularities for pseudo-differential operators with self-tangential characteristics ⋮ Geometric results for a class of hyperbolic operators with double characteristics ⋮ Microhyperbolic operators in Gevrey classes ⋮ Levi conditions for hyperbolic operators with a stratified multiple variety ⋮ The Cauchy problem for a class of hyperbolic operators with triple characteristics ⋮ Necessary and sufficient conditions for the well-posedness of the Cauchy problem for a class of hyperbolic operators with triple characteristics ⋮ Propagation of wave front sets of solutions of the Cauchy problem for a hyperbolic system in Gevrey classes

Cites Work

• Unnamed Item
• Unnamed Item
• Extremal H-convex bodies
• Micro-hyperbolic pseudo-differential operators. I
• The Cauchy problem for differential equations with double characteristics
• Lacunas for hyperbolic differential operators with constant coefficients.I
• Singularities of solutions of the cauchy problems for operators with hearly constant coefficient hyperbolic principal part
• Propagation of singularities of solutions for a hyperbolic system with nilpotent characteristics. I
• Multi—products ofphase functions for fourier integral opertaors with an application
• A Note on Hyperbolic Polynomials.
• On linear partial differential equations with analytic coefficients unique continuation of data

This page was built for publication: Singularities of solutions of the caught problem for symmetric hyperbolic systems