(Semi-)global analytic hypoellipticity for a class of “sums of squares” which fail to be locally analytic hypoelliptic
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- by Gregorio Chinni PDF
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Abstract:
The global and semi-global analytic hypoellipticity on the torus is proved for two classes of sums of squares operators, introduced by P. Albano, A. Bove, and M. Mughetti, satisfying the Hörmander condition and which fail to be either locally or microlocally analytic hypoelliptic.References
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Additional Information
- Gregorio Chinni
- Affiliation: Department of Mathematics and Statistics, University of Strathclyde, 26 Richmond Street, Glasgow G1 1XH, Scotland
- MR Author ID: 872619
- Email: gregorio.chinni@gmail.com
- Received by editor(s): March 17, 2018
- Published electronically: September 30, 2022
- Additional Notes: The author was supported by the Austrian Science Fund (FWF), Lise-Meitner position, project no. M2324-N35.
- Communicated by: Joachim Krieger
- © Copyright 2022 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 150 (2022), 5193-5202
- MSC (2020): Primary 35H10, 35H20, 35B65, 35A27
- DOI: https://doi.org/10.1090/proc/14464