Cauchy Problem Non Effectively Hyperbolic Gevrey Well-Posedness Null Bicharacteristic Hamilton Map Elementary Decomposition Positive Trace
Issue Date:
2008
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 34, No 1, (2008), 155p-178p
Abstract:
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.
