On the microlocal regularity of the analytic vectors for “sums of squares” of vector fields
Mathematische Zeitschrift, 2022 We prove via FBI-transform a result concerning the microlocal Gevrey regularity of analytic vectors for operators sums of squares of vector fields with real-valued real analytic coefficients of Hörmander type, thus providing a microlocal version, in the analytic category, of a result due to M.
Gregorio Chinni, Makhlouf Derridj
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On the Gevrey regularity for sums of squares of vector fields, study of some models [PDF]
Journal of Differential Equations, 2018 The micro-local Gevrey regularity of a class of "sums of squares" with real analytic coefficients is studied in detail. Some partial regularity result is also given.
Gregorio Chinni
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Hypoellipticity and Non Hypoellipticity for Sums of Squares of Complex Vector Fields
Bruno Pini Mathematical Analysis Seminar, 2011 In this talk we give a report on a paper where we consider a model sum of squares of planar complex vector fields, being close to Kohn's operator but with a point singularity.
Antonio Bove
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Hypoellipticity and Loss of Derivatives of Sums of Squares of complex Vector Fields
Journal of Geometric AnalysisAbstract 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.
Alberto Parmeggiani +1 more
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Gevrey regularity for a class of sums of squares of monomial vector fields
Advances in Mathematics, 2020 The paper is devoted to the problem of the analytic and Gevrey hypoellipticity of the sum-of-squares operators. The characteristic manifold is assumed to be symplectic of dimension 2. In the case of a second order degeneration, this grants analytic hypoellipticity, see for example \textit{F. Trèves} [Commun. Partial Differ. Equations 3, 475--642 (1978;
Antonio Bove, Marco Mughetti
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Analyticity for singular sums of squares of degenerate vector fields [PDF]
Proceedings of the American Mathematical Society, 2006 Recently J. J. Kohn (2005) proved C ∞
Bove, Antonio +3 more
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On the regularity of the solutions and of analytic vectors for “sums of squares”
Bruno Pini Mathematical Analysis Seminar, 2023 We present a brief survey on some recent results concerning the local and global regularity of the solutions for some classes/models of sums of squares of vector fields with real-valued real analytic coefficients of H"ormander type.
Gregorio Chinni
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On the Gevrey hypo-ellipticity of sums of squares of vector fields [PDF]
Annales de l'Institut Fourier, 2004 The article studies a second-order linear differential operator of the type - L =
BOVE, ANTONIO, F. Treves
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Sums of squares of complex vector fields and (analytic-) hypoellipticity [PDF]
Mathematical Research Letters, 2006 n ...
BOVE, ANTONIO +3 more
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On Kohn’s sums of squares of complex vector fields
Matemática Contemporânea, 2022 Summary: This is a survey of some recent alternative way of proving a subelliptic estimate, first proven by J. J. Kohn, for certain sums of squares of \textit{complex} vector fields. My approach here makes it possible to extend the result also to more general families of complex vector fields, to perturbations of sums of squares operators by a first ...
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