On The Cauchy Problem for Non Effectively Hyperbolic Operators, The Ivrii-Petkov-Hörmander Condition and the Gevrey Well Posedness
| Data(s) |
20/07/2016
20/07/2016
2008
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| Resumo |
2000 Mathematics Subject Classification: 35L15, Secondary 35L30. In this paper we prove that for non effectively hyperbolic operators with smooth double characteristics with the Hamilton map exhibiting a Jordan block of size 4 on the double characteristic manifold the Cauchy problem is well posed in the Gevrey 6 class if the strict Ivrii-Petkov-Hörmander condition is satisfied. |
| Identificador |
Serdica Mathematical Journal, Vol. 34, No 1, (2008), 155p-178p 1310-6600 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Cauchy Problem #Non Effectively Hyperbolic #Gevrey Well-Posedness #Null Bicharacteristic #Hamilton Map #Elementary Decomposition #Positive Trace |
| Tipo |
Article |
