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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年8月12日

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  • N. Braun Rodrigues,
  • G. Chinni

摘要

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.