Cauchy problem for effectively hyperbolic operators with triple characteristics

DOI10.1016/j.matpur.2018.06.006zbMath1437.35451arXiv1706.05965OpenAlexW2809303781MaRDI QIDQ5915952

Tatsuo Nishitani, Vesselin Petkov, Enrico Bernardi, Antonio Bove

Publication date: 20 February 2019

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série, Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.05965

zbMATH Keywords

energy estimatessymmetrizerFeffermann-Phong-type inequalitythird-order operators

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items

The Cauchy problem for properly hyperbolic equations in one space variable, Diagonal symmetrizers for hyperbolic operators with triple characteristics, On some hyperbolic equations of third order, Notes on symmetrization by Bézoutian. (In memoria di Enrico Jannelli), The Cauchy problem for operators with triple effectively hyperbolic characteristics: Ivrii's conjecture, Cauchy problem for hyperbolic operators with triple effective characteristics on the initial plane

Cites Work

• The Cauchy problem for effectively hyperbolic operators
• The Cauchy problem for effectively hyperbolic equations (a special case)
• A note on reduced forms of effectively hyperbolic operators and energy integrals
• Local energy integrals for effectively hyperbolic operators. I
• The Cauchy problem for effectively hyperbolic equations (general cases)
• Counterexamples to \(C^{\infty}\) well posedness for some hyperbolic operators with triple characteristics
• A Class of Counterexamples to the Fefferman–Phong Inequality for Systems
• Cauchy problem for effectively hyperbolic operators with triple characteristics of variable multiplicity
• NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED
• CORRECTNESS OF THE CAUCHY PROBLEM IN GEVREY CLASSES FOR NONSTRICTLY HYPERBOLIC OPERATORS
• Energy inequality for non strictly hyperbolic operators in the Gevrey class
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