On a class of globally analytic Hypoelliptic operators with non-negative characteristic form

2025/03/10 by Rodrigues, Nicholas Braun, Chinni, Gregorio
#35A20 #35A27 (secondary) #35B65 #35H10 #35H20 (primary) #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.07318

Abstract

The global analytic hypoellipticity is proved for a class of second order partial differential equations with non-negative characteristic form globally defined on the torus. The class considered in this work generalizes at some degree the class of sum of squares considered by Bove-Chinni and also by Cordaro-Himonas.

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