The Cauchy problem for operators with triple effectively hyperbolic characteristics: Ivrii's conjecture
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Publication:6161890
DOI10.1007/s11854-022-0249-9zbMath1518.35478arXiv2101.00577OpenAlexW4313256946WikidataQ122894262 ScholiaQ122894262MaRDI QIDQ6161890
Publication date: 28 June 2023
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.00577
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for higher-order hyperbolic equations (35L30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Energy estimates for the Cauchy problem associated to a class of hyperbolic operators with double characteristics in presence of transition, A priori estimates in Sobolev spaces for a class of hyperbolic operators in presence of transition
Cites Work
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- Asymptotic solutions of oscillatory initial value problems
- Some remarks on the Cauchy problem
- Cauchy problem for hyperbolic operators with triple effective characteristics on the initial plane
- 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
- The Cauchy problem for effectively hyperbolic equations (a standard type)
- Local energy integrals for effectively hyperbolic operators. I
- Smoothness of roots of polynomials depending on parameters
- The hyperbolic Cauchy problem
- Characterization of pseudodifferential operator and application
- The Cauchy problem for differential equations with double characteristics
- The Cauchy problem for hyperbolic operators of strong type
- The Cauchy problem for effectively hyperbolic equations (general cases)
- Diagonal symmetrizers for hyperbolic operators with triple characteristics
- Notes on symmetrization by Bézoutian. (In memoria di Enrico Jannelli)
- Counterexamples to \(C^{\infty}\) well posedness for some hyperbolic operators with triple characteristics
- Cauchy problem for effectively hyperbolic operators with triple characteristics of variable multiplicity
- The Hyperbolic Symmetrizer: Theory and Applications
- NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED
- Continuation of bicharacteristics for effectively hyperbolic operators
- Cauchy problem for effectively hyperbolic operators with triple characteristics