Probleme de cauchy non caracteristique pour les systemes hyperboliques a caracteristiques de multiplicite variable domaine de dependance

DOI10.1080/03605307908820100zbMath0446.35066OpenAlexW1982225162MaRDI QIDQ3891132

Daniel Gourdin

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1080/03605307908820100

zbMATH Keywords

Sobolev spacesCauchy problemgrowth conditionshyperbolic systemmultiple characteristics

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

Global Cauchy problems on \(\mathbb{R}^n\) for weakly hyperbolic systems with coefficients admitting superlinear growth for \(| x| \rightarrow \infty\) ⋮ Global Cauchy problems for hyperbolic systems with characteristics admitting superlinear growth for \( |x|\rightarrow \infty \)

Cites Work

• Systemes hyperboliques
• On the Cauchy problem for equations with multiple characteristic roots
• The Cauchy Problem for Weakly Hyperbolic Equations
• On the cauchy problem for weakly hyperbolic equations
• BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF FIRST ORDER PSEUDODIFFERENTIAL OPERATORS
• Sur la condition de E. E. Levi concernant des équations hyperboliques
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