On The Cauchy Problem for Non Effectively Hyperbolic Operators, The Ivrii-Petkov-Hörmander Condition and the Gevrey Well Posedness

Nishitani, Tatsuo. "On The Cauchy Problem for Non Effectively Hyperbolic Operators, The Ivrii-Petkov-Hörmander Condition and the Gevrey Well Posedness." Serdica Mathematical Journal 34.1 (2008): 155-178. <http://eudml.org/doc/281366>.

@article{Nishitani2008,
abstract = {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.},
author = {Nishitani, Tatsuo},
journal = {Serdica Mathematical Journal},
keywords = {Cauchy Problem; Non Effectively Hyperbolic; Gevrey Well-Posedness; Null Bicharacteristic; Hamilton Map; Elementary Decomposition; Positive Trace},
language = {eng},
number = {1},
pages = {155-178},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On The Cauchy Problem for Non Effectively Hyperbolic Operators, The Ivrii-Petkov-Hörmander Condition and the Gevrey Well Posedness},
url = {http://eudml.org/doc/281366},
volume = {34},
year = {2008},
}

TY - JOUR
AU - Nishitani, Tatsuo
TI - On The Cauchy Problem for Non Effectively Hyperbolic Operators, The Ivrii-Petkov-Hörmander Condition and the Gevrey Well Posedness
JO - Serdica Mathematical Journal
PY - 2008
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 34
IS - 1
SP - 155
EP - 178
AB - 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.
LA - eng
KW - Cauchy Problem; Non Effectively Hyperbolic; Gevrey Well-Posedness; Null Bicharacteristic; Hamilton Map; Elementary Decomposition; Positive Trace
UR - http://eudml.org/doc/281366
ER -