Parametric du probleme de cauchy pour une classe de systems hyperboliques symetrisables a caracteristiques involutives de multiplicite variable

DOI10.1080/03605308008820131zbMath0437.35045OpenAlexW2082147637MaRDI QIDQ3878064

Jean-Clarence Nosmas

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1080/03605308008820131

zbMATH Keywords

Cauchy problemhyperbolic systemsspectrumeigenspacespseudodifferential operatorsparametrixhigher order systemsvariable multiplicityinvolutive characteristics

Mathematics Subject Classification ID

Boundary value problems for PDEs with pseudodifferential operators (35S15) Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items

Propagation of singularities of solutions for a hyperbolic system with nilpotent characteristics. I ⋮ 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 ⋮ Singularities of solutions of the cauchy problems for operators with hearly constant coefficient hyperbolic principal part ⋮ Unnamed Item

Cites Work

• Uniqueness of solutions of the Cauchy problem for linear partial differential equations with characteristics of variable multiplicity
• The singularities of solutions of the Cauchy problems for systems whose characteristic roots are non-uniform multiple
• Opérateurs hyperboliques à caractéristiques de multiplicité constante
• Propagation of singularities along characteristics with nonuniform multiplicity
• Fourier integral operators. I
• Fourier integral operators. II
• The well-posedness of the cauchy problem for partial differential equations with multiple characteristics
• Pseudo-differential operators with involutive double characteristics