Hypoellipticity and Loss of Derivatives of Sums of Squares of complex Vector Fields
Abstract In this paper I survey some recent results I obtained about the hypoellipticity of sums of squares of complex vector fields that allow for a generalization of Kohn’s Thm. A, and give a new result about hypoellipticity with a loss of many derivatives that shows that Kohn’s Thm. B holds in a more general setting.
Authors
- Alberto Parmeggiani (ORCID: https://orcid.org/0000-0002-6234-0823)
Institutions
- University of Bologna (IT)
Publication Details
- Journal
- Journal of Geometric Analysis
- Published
- 2025-07-19
- DOI
- https://doi.org/10.1007/s12220-025-02119-9
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Ministero dell’Istruzione, dell’Università e della Ricerca
- Università di Bologna