We consider sums of squares operators globally defined on the torus. We show that if some assumptions are satisfied the operators are globally analytic hypoelliptic. The purpose of the assumptions is to rule out the existence of a Hamilton leaf on the characteristic variety lying along the fiber of the cotangent bundle, i.e. the case of the (global) Metivier operator. (C) 2022 Elsevier Inc. All rights reserved.
Antonio Bove, Gregorio Chinni (2022). On a class of globally analytic hypoelliptic sums of squares. JOURNAL OF DIFFERENTIAL EQUATIONS, 327, 109-126 [10.1016/j.jde.2022.04.013].
On a class of globally analytic hypoelliptic sums of squares
Antonio Bove
;Gregorio Chinni
2022
Abstract
We consider sums of squares operators globally defined on the torus. We show that if some assumptions are satisfied the operators are globally analytic hypoelliptic. The purpose of the assumptions is to rule out the existence of a Hamilton leaf on the characteristic variety lying along the fiber of the cotangent bundle, i.e. the case of the (global) Metivier operator. (C) 2022 Elsevier Inc. All rights reserved.File in questo prodotto:
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On a Class of Globally Analytic Hypoelliptic Sums of Squares(A.Bove_G.Chinni).pdf
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