On the global $$C^\infty$$ and Gevrey hypoellipticity on the torus of some classes of degenerate elliptic operators

Authors

  • Angela A. Albanese

DOI:

https://doi.org/10.1285/i15900932v31n1p1

Keywords:

Global hypoellipticity, Liouville number, Diophantine condition

Abstract

In this paper we prove the global $C^\infty$ and Gevrey hypoellipticity on the multidimensional torus for some classes of degenerate elliptic operators.

Author Biography

Angela A. Albanese

Downloads

Published

15-01-2012

Issue

Volume 31, Issue 1 (2011)

Section

Articoli

License

Authors who publish with this publication accept all the terms and conditions of the Creative Commons license at the link below.

Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode