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The Metivier inequality and ultradifferentiable hypoellipticity

Mathematische Nachrichten
Abstract In 1980, Métivier characterized the analytic (and Gevrey) hypoellipticity of L2$L^2$‐solvable partial linear differential operators by a priori estimates. In this note, we extend this characterization to ultradifferentiable hypoellipticity with respect to Denjoy–Carleman classes given by suitable weight sequences. We also discuss the case when
Stefan Furdos
exaly   +2 more sources

Symplectic strata and analytic hypoellipticity

Progress in Nonlinear Differential Equations and Their Application, 2006
Paulo D Cordaro, Nicholas Hanges
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Global analytic hypoellipticity of involutive systems on compact manifolds

Mathematische Annalen, 2022
Gabriel Araujo, Paulo L Dattori da Silva, B De Lessa Victor   +2 more
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On global analytic and Gevrey hypoellipticity on the torus and the Métivier inequality

Communications in Partial Differential Equations, 2017
Gregorio Chinni
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Analytic Hypoellipticity in the Presence of Lower Order Terms

Communications in Partial Differential Equations, 2007
Paolo Albano, Antonio Bove, David S Tartakoff   +2 more
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Global analytic, Gevrey and C∞ hypoellipticity on the 3‐torus

Mathematische Nachrichten, 2012
A Alexandrou Himonas, Gerson Petronilho
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Analytic Hypoellipticity for a New Class of Sums of Squares of Vector Fields in $${\mathcal {R}}^3$$ R 3

Journal of Geometric Analysis, 2016
David S Tartakoff, Tartakoff David S
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Analytic Hypoellipticity at Non-Symplectic Poisson-Treves Strata for Certain Sums of Squares of Vector Fields

Journal of Geometric Analysis, 2008
Antonio Bove, David S Tartakoff, Bove Antonio   +2 more
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Examples of analytic non-hypoellipticity of ∂b

Communications in Partial Differential Equations, 1994
Michael Christ
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