English

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

Analysis of PDEs 2025-03-11 v1

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.

Keywords

Cite

@article{arxiv.2503.07318,
  title  = {On a class of globally analytic Hypoelliptic operators with non-negative characteristic form},
  author = {Nicholas Braun Rodrigues and Gregorio Chinni},
  journal= {arXiv preprint arXiv:2503.07318},
  year   = {2025}
}