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A class of globally hypoelliptic operators on the torus

✍ Scribed by Masafumi Yoshino


Publisher
Springer-Verlag
Year
1989
Tongue
French
Weight
622 KB
Volume
201
Category
Article
ISSN
0025-5874

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πŸ“œ SIMILAR VOLUMES


Global analytic, Gevrey and C∞ hypoellip
✍ A. Alexandrou Himonas; Gerson Petronilho; L. A. Carvalho dos Santos πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 223 KB

## Abstract It is proved that a class of sub‐Laplacians on the 3‐dimensional torus is globally analytic, Gevrey and __C__^∞^ hypoelliptic if and only if either a Diophantine condition holds or there is a point of finite type for the vector fields defining the operator under consideration. This work