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Cauchy problem for operators with triple effectively hyperbolic characteristics-Ivrii's conjecture-
- Publication Year :
- 2021
-
Abstract
- Ivrii's conjecture asserts that the Cauchy problem is $C^{\infty}$ well-posed for any lower order term if every critical point of the principal symbol is effectively hyperbolic. Effectively hyperbolic critical point is at most triple characteristic. If every characteristic is at most double this conjecture has been proved in 1980's. In this paper we prove the conjecture for the remaining cases, that is for operators with triple effectively hyperbolic characteristics.<br />Comment: 63p
- Subjects :
- Mathematics - Analysis of PDEs
35L30, 35G10
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2101.00577
- Document Type :
- Working Paper