(Semi-)global analytic hypoellipticity for a class of “sums of squares” which fail to be locally analytic hypoelliptic

DOI10.1090/PROC/14464zbMath1505.35093arXiv2201.09444OpenAlexW2905965377MaRDI QIDQ5039243

Gregorio Chinni

Publication date: 12 October 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.09444

zbMATH Keywords

sums of squaresglobalsemi-global analytic hypoellipticity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Hypoelliptic equations (35H10) Subelliptic equations (35H20)

Related Items (6)

On a class of globally analytic hypoelliptic sums of squares ⋮ On the partial and microlocal regularity for generalized Métivier operators ⋮ On a class of sums of squares related to Hamiltonians with a non periodic magnetic field ⋮ On the sharp Gevrey regularity for a generalization of the Métivier operator ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Hypoelliptic differential operators and nilpotent groups
• Analytic hypoellipticity for sums of squares and the Treves conjecture
• Global analytic hypoellipticity of a class of degenerate elliptic operators on the torus
• Analytic hypoellipticity for sums of squares and the Treves conjecture. II.
• Hypoelliptic second order differential equations
• Global analytic regularity for sums of squares of vector fields
• Global (and local) analyticity for second order operators constructed from rigid vector fields on products of tori

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