On the Cauchy problem for non-effectively hyperbolic operators, the Gevrey 5 well-posedness
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Publication:948862
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
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
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