Global analytic regularity for sums of squares of vector fields

Cordaro, Paulo; Himonas, A.

doi:10.1090/S0002-9947-98-01987-4

Global analytic regularity for sums of squares of vector fields
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by Paulo D. Cordaro and A. Alexandrou Himonas PDF

Trans. Amer. Math. Soc. 350 (1998), 4993-5001 Request permission

Abstract:

We consider a class of operators in the form of a sum of squares of vector fields with real analytic coefficients on the torus and we show that the zero order term may influence their global analytic hypoellipticity. Also we extend a result of Cordaro-Himonas.

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