Results 1 to 10 of about 4,782 (151)
Graded hypoellipticity of BGG sequences. [PDF]
Ann Glob Anal Geom (Dordr), 2022 This article studies hypoellipticity on general filtered manifolds. We extend the Rockland criterion to a pseudodifferential calculus on filtered manifolds, construct a parametrix and describe its precise analytic structure.
Dave S, Haller S.
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The Metivier inequality and ultradifferentiable hypoellipticity [PDF]
Mathematische Nachrichten, Volume 297, Issue 7, Page 2517-2531, July 2024., 2023 In 1980, Métivier characterized the analytic (and Gevrey) hypoellipticity of L2$L^2$ ‐solvable partial linear differential operators by a priori estimates.
P. Cordaro, Stefan Fürdös
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Global Hypoellipticity for Strongly Invariant Operators [PDF]
Journal of Mathematical Analysis and Applications, 2020 In this note, by analyzing the behavior at infinity of the matrix symbol of an invariant operator $P$ with respect to a fixed elliptic operator, we obtain a necessary and sufficient condition to guarantee that $P$ is globally hypoelliptic.
de Moraes, Wagner Augusto Almeida +1 more
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Global Gevrey hypoellipticity on the torus for a class of systems of complex vector fields [PDF]
Journal of Mathematical Analysis and Applications, 2018 Let $L_j = \partial_{t_j} + (a_j+ib_j)(t_j) \partial_x, \, j = 1, \dots, n,$ be a system of vector fields defined on the torus $\mathbb{T}_t^{n}\times\mathbb{T}_x^1$, where the coefficients $a_j$ and $b_j$ are real-valued functions belonging to the ...
de Medeira, Cleber +2 more
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Enhanced dissipation and Hörmander's hypoellipticity [PDF]
Journal of Functional Analysis, 2021 We examine the phenomenon of enhanced dissipation from the perspective of H\"ormander's classical theory of second order hypoelliptic operators [31].
D. Albritton +2 more
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Maximal Hypoellipticity for Left-Invariant Differential Operators on Lie Groups
Journal of Lie theory, 2018 Given a differential operator defined in terms of left-invariant vector fields on a Lie group, we prove that the local condition defining maximal hypoellipticity is equivalent to a global estimate if the operator is left invariant.
Bruno, Tommaso
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Global solvability and hypoellipticity for evolution operators on tori and spheres [PDF]
Mathematische Nachrichten, 2023 In this paper, we investigate global properties of a class of evolution differential operators defined on a product of tori and spheres. We present a comprehensive characterization of global solvability and hypoellipticity, providing necessary and ...
A. Kirilov +2 more
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Averaging lemmas and hypoellipticity [PDF]
Kinetic and Related Models, 2023 We use the methods of commutator and fundamental solutions to establish averaging lemmas and hypoelliptic estimates for purely kinetic transport equations.
Yuzhe Zhu
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Sums of squares III: Hypoellipticity in the infinitely degenerate regime [PDF]
Revista matemática iberoamericana, 2021 This is the third in a series of papers dealing with sums of squares and hypoellipticity in the infinitely degenerate regime. We establish a C^2,delta generalization of M.
L. Korobenko, E. Sawyer
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Time-periodic Gelfand-Shilov spaces and global hypoellipticity on T×Rn
Journal of Functional Analysis, 2022 We introduce a class of time-periodic Gelfand-Shilov spaces of functions on T×R, where T ∼ R/2πZ is the one-dimensional torus. We develop a Fourier analysis inspired by the characterization of the Gelfand-Shilov spaces in terms of the eigenfunction ...
Fernando de Ávila Silva, M. Cappiello
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