Counterexamples to $ C^{\infty} $ well posedness for some hyperbolic operators with triple characteristics
Analysis of PDEs
2014-05-14 v1
Abstract
In this paper we prove that for a class of non-effectively hyperbolic operators with smooth triple characteristics the Cauchy problem is well posed in the Gevrey 2 class, beyond the generic Gevrey class (see e.g. \cite{Bro}). Moreover we show that this value is optimal.
Cite
@article{arxiv.1405.3052,
title = {Counterexamples to $ C^{\infty} $ well posedness for some hyperbolic operators with triple characteristics},
author = {Enrico Bernardi and Tatsuo Nishitani},
journal= {arXiv preprint arXiv:1405.3052},
year = {2014}
}