Minimal Microlocal Gevrey Regularity for "Sums of Squares"

DOI10.1093/imrp/rnp016zbMath1179.35026OpenAlexW2112872439MaRDI QIDQ5321858

Gregorio Chinni, Antonio Bove, Paolo Albano

Publication date: 15 July 2009

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrp/rnp016

zbMATH Keywords

Hörmander's bracket conditionFBI (Fourier-Bros-Iagolnitzer) methodsGevrey microlocal hypoellipticity

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

Related Items (15)

Analyticity in partial differential equations ⋮ Analytic regularity for solutions to sums of squares: an assessment ⋮ Analytic and Gevrey hypoellipticity for perturbed sums of squares operators ⋮ Hypoellipticity in spaces of ultradistributions -- study of a model case ⋮ 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 ⋮ Analytic hypoellipticity for sums of squares and the Treves conjecture ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The presence of symplectic strata improves the Gevrey regularity for sums of squares ⋮ Wave Front Set of Solutions to Sums of Squares of Vector Fields ⋮ Gevrey regularity for a generalization of the Oleĭnik-Radkevič operator ⋮ On the microlocal regularity of the analytic vectors for ``sums of squares of vector fields

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