On the Cauchy problem for non-effectively hyperbolic operators, the Gevrey 5 well-posedness

DOI10.1007/S11854-008-0035-3zbMath1209.35009OpenAlexW2055573860MaRDI QIDQ948862

Tatsuo Nishitani, Enrico Bernardi

Publication date: 16 October 2008

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

Full work available at URL: https://projecteuclid.org/euclid.kjm/1320936732

zbMATH Keywords

smooth double characteristics

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (10)

Stochastic perturbation of a cubic anharmonic oscillator ⋮ ON THE CAUCHY PROBLEM FOR NON-EFFECTIVELY HYPERBOLIC OPERATORS: THE GEVREY 3 WELL-POSEDNESS ⋮ On the Cauchy problem for a class of hyperbolic operators with triple characteristics ⋮ On the Cauchy Problem for Hyperbolic Operators with Double Characteristics ⋮ On the Cauchy problem for noneffectively hyperbolic operators: the Gevrey 4 well-posedness ⋮ LOCAL AND MICROLOCAL CAUCHY PROBLEM FOR NON-EFFECTIVELY HYPERBOLIC OPERATORS ⋮ The Cauchy problem for differential operators with double characteristics ⋮ The Cauchy Problem for Hyperbolic Operators with Double Characteristics in Presence of Transition ⋮ On the Cauchy Problem for Noneffectively Hyperbolic Operators, a Transition Case ⋮ Counterexamples to \(C^{\infty}\) well posedness for some hyperbolic operators with triple characteristics

Cites Work

• Asymptotic solutions of oscillatory initial value problems
• The Cauchy problem for differential equations with double characteristics
• Geometric results for a class of hyperbolic operators with double characteristics. II
• Non effectively hyperbolic operators, Hamilton map and bicharacteristics
• On the simpleness of zeros of Stokes multipliers
• NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the Cauchy problem for non-effectively hyperbolic operators, the Gevrey 5 well-posedness