arXiv Analytics

Sign in

arXiv:1405.3052 [math.AP]AbstractReferencesReviewsResources

Counterexamples to $ C^{\infty} $ well posedness for some hyperbolic operators with triple characteristics

Enrico Bernardi, Tatsuo Nishitani

Published 2014-05-13Version 1

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 $ 3/2 $ (see e.g. \cite{Bro}). Moreover we show that this value is optimal.

Categories: math.AP
Related articles: Most relevant | Search more
arXiv:1104.3794 [math.AP] (Published 2011-04-19, updated 2012-10-07)
The Cauchy Problem for Wave Maps on a Curved Background
arXiv:math/0607458 [math.AP] (Published 2006-07-19, updated 2008-01-12)
On well-posedness of the Cauchy problem for MHD system in Besov spaces
arXiv:math/0501408 [math.AP] (Published 2005-01-24, updated 2005-10-24)
The Cauchy problem for a Schroedinger - Korteweg - de Vries system with rough data

Links

Toolbox