Geometric results for a class of hyperbolic operators with double characteristics

DOI10.1080/03605308808820538zbMath0646.35051OpenAlexW3021275455MaRDI QIDQ3789998

Antonio Bove, Enrico Bernardi

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/03605308808820538

zbMATH Keywords

Cauchy problemHamiltonian matrixwellposednessprincipal symbolnull bicharacteristicsdouble characteristic manifoldIvrii conditionnon-effective hyperbolic operator

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Geometric theory, characteristics, transformations in context of PDEs (35A30) Initial value problems for second-order hyperbolic equations (35L15) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (6)

A result on the well posedness of the Cauchy problem for a class of hyperbolic operators with double characteristics ⋮ On the Cauchy Problem for Hyperbolic Operators with Double Characteristics ⋮ Levi conditions for hyperbolic operators with a stratified multiple variety ⋮ The Cauchy problem for differential operators with double characteristics ⋮ The Cauchy Problem for Hyperbolic Operators with Double Characteristics in Presence of Transition ⋮ Necessary and sufficient conditions for the well-posedness of the Cauchy problem for a class of hyperbolic operators with triple characteristics

Cites Work

• Unnamed Item
• The Cauchy problem for differential equations with double characteristics
• Singularities of solutions of the caught problem for symmetric hyperbolic systems
• NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED

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