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

Nicholas Braun Rodrigues; Gregorio Chinni

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arXiv · 2503.07318

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

Nicholas Braun Rodrigues·Gregorio Chinni

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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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Nicholas Braun Rodrigues, Gregorio Chinni. 2025-03-10. On a class of globally analytic Hypoelliptic operators with non-negative characteristic form. https://arxiv.org/abs/2503.07318

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