Conditions of hyperbolicity of systems with constant multiplicity

DOI10.1007/s11784-014-0158-3zbMath1326.35190OpenAlexW2031537284MaRDI QIDQ480911

Jean Vaillant

Publication date: 12 December 2014

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-014-0158-3

zbMATH Keywords

good decompositionLevi conditionsystems with constant multiplicity

Mathematics Subject Classification ID

Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

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• Conditions of hyperbolicity of linear differentiable systems with constant multiplicity
• Remarks on the Levi conditions for differential systems
• On Cauchy-Kowalevski's theorem for general systems
• Cauchy problem for non-strictly hyperbolic systems
• On the conditions for the hyperbolicity of systems with double characteristic roots. I
• On the condition for the hyperbolicity of systems with double characteristic roots. II
• On the Cauchy-Kowalevskaya theorem for systems
• Paramètrix pour des systèmes hyperboliques du premier ordre à multiplicité constante
• Systemes hyperboliques à caractéristiques multiples
• Normal form of systems of partial differential and pseudo-differential operators in formal symbol classes
• Invariant conditions for hyperbolicity of systems and reduction of systems
• Donnees de Cauchy portees par une caractéristique double, dans le cas d'un système linéaire d'équations aux dérivées partielles, rôle des bicaractéristiques
• Microlocal Forms for Hyperbolic Systems
• Uniformisation de la solution d'un problème de Cauchy non linéaire, à données holomorphes
• On the Lax-Mizohata theorem in the analytic and Gevrey classes