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Nonlinear eigenvalues and analytic hypoellipticity

✍ Scribed by Sagun Chanillo; Bernard Helffer; Ari Laptev

Book ID
108344196
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
207 KB
Volume
209
Category
Article
ISSN
0022-1236

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## 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