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.
Braun Rodrigues, N., Chinni, G. (2025). On a class of globally analytic hypoelliptic operators with non-negative characteristic form. MATHEMATISCHE ANNALEN, 393(1), 365-406 [10.1007/s00208-025-03229-z].
On a class of globally analytic hypoelliptic operators with non-negative characteristic form
Braun Rodrigues, N.;Chinni, G.
2025
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.File in questo prodotto:
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GAH_HOR_Op_Braun_Rodrigues_Chinni_Revised.pdf
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