Results 41 to 50 of about 107 (95)
Analytic hypoellipticity in dimension two
A simple geometric condition is sufficient for analytic hypoellipticity of sums of squares of two vector fields in ${\mathbb R}^2$. This condition is proved to be necessary for generic vector fields and for various special cases, and to be both necessary and sufficient for a closely related family of operators.
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Graded hypoellipticity of BGG sequences. [PDF]
Dave S, Haller S.
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The hypoelliptic Laplacian, analytic torsion and Cheeger–Müller Theorem [PDF]
The purpose of this Note is to prove a formula relating the hypoelliptic Ray–Singer metric and the Milnor metric on the determinant of the cohomology of a compact Riemannian manifold by a Witten-like deformation of the hypoelliptic Laplacian in de Rham theory.
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On Analytic Solvability and Hypoellipticity For $\dbar$ and $\dbar_b
No abstract available.
Christ, Michael, Li, Song-Ying
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Analytic hypoellipticity for operators with symplectic characteristics
The author is concerned with analytic hypoellipticity for operators with multiple characteristics. His purpose is to extend in particular the results of F. Trèves and G. Métivier who obtained some results for operators with symbol vanishing precisely to the order k on a submanifold \(\Sigma\), to some operators with symbols whose vanishing order on ...
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Analytic Torsion of Generic Rank Two Distributions in Dimension Five. [PDF]
Haller S.
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Analytic hypoellipticity for sums of squares of vector fields [PDF]
This paper is a synthetic, lucid and up to date review of the status of the theory concerning analytic hypoellipticity of sums of squares operators. First the author discusses the local theory; there are two famous conjectures by François Treves, that spurred quite a number of papers on the subject.
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A Cortical-Inspired Sub-Riemannian Model for Poggendorff-Type Visual Illusions. [PDF]
Baspinar E +3 more
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Trend to equilibrium for the kinetic Fokker-Planck equation via the neural network approach. [PDF]
Hwang HJ, Jang JW, Jo H, Lee JY.
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Ornstein-Uhlenbeck semigroups in infinite dimension. [PDF]
Lunardi A, Pallara D.
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