Necessary and sufficient conditions for the well-posedness of the Cauchy problem for a class of hyperbolic operators with triple characteristics

DOI10.1007/BF02796141zbMath0713.35049MaRDI QIDQ749765

Antonio Bove, Enrico Bernardi

Publication date: 1990

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemwell-posednessHamiltonian flowLevi conditionstriple characteristics

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (6)

Necessary and sufficient conditions for the well posedness of the Cauchy problem for a class of hyperbolic operators with high variable multiplicity ⋮ On a class of strongly hyperbolic systems ⋮ The Cauchy problem for hyperbolic operators of strong type ⋮ Propagation of singularities for a class of hyperbolic operators with triple characteristics ⋮ The Cauchy problem for a model equation with triple characteristics ⋮ Levi conditions for hyperbolic operators with a stratified multiple variety

Cites Work

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• The Cauchy problem for differential equations with double characteristics
• On the well-posedness of the Cauchy problem for certain hyperbolic operators with characteristics of high variable multiplicity
• Singularities of solutions of the caught problem for symmetric hyperbolic systems
• Geometric results for a class of hyperbolic operators with double characteristics
• NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED
• Propagation of singularities for hyperbolic operators with multiple involutive characteristics

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