Global regularity in ultradifferentiable classes

被引：0
|
作者：
Angela A. Albanese
David Jornet
机构：
[1] Università del Salento,Dipartimento di Matematica e Fisica “E. De Giorgi”
[2] Universitat Politècnica de València,Instituto Universitario de Matemática Pura y Aplicada IUMPA
来源：
Annali di Matematica Pura ed Applicata | 2014年 / 193卷
关键词：
(Non) Quasi-analytic weight function; -ultradifferentiable function space; Global hypoellipticity; 35D10; 35H10; 35J70; 46E10; 46F05; 58J99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study ω-regularity of the solutions of certain operators that are globally C∞-hypoelliptic in the N-dimensional torus. We also apply these results to prove the global ω-regularity for some classes of sublaplacians. In this way, we extend previous work in the setting of analytic and Gevrey classes. Different examples on local and global ω-hypoellipticity are also given.
引用
收藏
页码：369 / 387
页数：18
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