On the Cauchy problem for a class of hyperbolic operators with triple characteristics

DOI10.1007/s11587-020-00540-6zbMath1528.35021WikidataQ115602056 ScholiaQ115602056MaRDI QIDQ6081943

Vincenzo Esposito, Annamaria Barbagallo

Publication date: 29 November 2023

Published in: Ricerche di Matematica (Search for Journal in Brave)

zbMATH Keywords

Cauchy problempseudodifferential operatorshyperbolic equations

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) A priori estimates in context of PDEs (35B45) Initial value problems for higher-order hyperbolic equations (35L30)

Cites Work

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• On hyperbolic equations with double characteristics in the presence of transition
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• Energy estimates for the Cauchy problem associated to a class of hyperbolic operators with double characteristics in presence of transition
• On the Cauchy problem for non-effectively hyperbolic operators, the Gevrey 5 well-posedness
• The Cauchy problem for hyperbolic operators of strong type
• Counterexamples to \(C^{\infty}\) well posedness for some hyperbolic operators with triple characteristics