Results 11 to 20 of about 204 (37)
Local properties of almost-Riemannian structures in dimension 3 [PDF]
, 2014 A 3D almost-Riemannian manifold is a generalized Riemannian manifold defined locally by 3 vector fields that play the role of an orthonormal frame, but could become collinear on some set $\Zz$ called the singular set.
Boscain, Ugo +3 more
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Wiener-Landis criterion for Kolmogorov-type operators
, 2017 We establish a necessary and sufficient condition for a boundary point to be regular for the Dirichlet problem related to a class of Kolmogorov-type equations. Our criterion is inspired by two classical criteria for the heat equation: the Evans-Gariepy's
Kogoj, A. E., Lanconelli, E., Tralli, G.
core +1 more source
Global Gevrey hypoellipticity for the twisted Laplacian on forms
, 2017 We study in this paper the global hypoellipticity property in the Gevrey category for the generalized twisted Laplacian on forms. Different from the 0-form case, where the twisted Laplacian is a scalar operator, this is a system of differential operators
Li, Wei-Xi +2 more
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Global Schauder estimates for kinetic Kolmogorov-Fokker-Planck equations
Advanced Nonlinear StudiesWe present global Schauder type estimates in all variables and unique solvability results in kinetic Hölder spaces for kinetic Kolmogorov-Fokker-Planck (KFP) equations.
Dong Hongjie, Yastrzhembskiy Timur
doaj +1 more source
Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators [PDF]
, 2014 37 pages, 3 figuresInternational audienceWe study degenerate hypoelliptic Ornstein-Uhlenbeck operators in $L^2$ spaces with respect to invariant measures.
Ottobre, M. +2 more
core +5 more sources
Hardy Type Inequalities for $\Delta_\lambda$-Laplacians
, 2015 We derive Hardy type inequalities for a large class of sub-elliptic operators that belong to the class of $\Delta_\lambda$-Laplacians and find explicit values for the constants involved.
Kogoj, A. E., Sonner, S.
core +3 more sources
Harnack Inequality for Hypoelliptic Second Order Partial Differential Operators [PDF]
, 2015 We consider non-negative solutions (Formula presented.) of second order hypoelliptic equations(Formula presented.) where \u3a9 is a bounded open subset of (Formula presented.) and x denotes the point of \u3a9.
Kogoj, Alessia E, Polidoro, Sergio
core +2 more sources
The ergodic problem for some subelliptic operators with unbounded coefficients
, 2016 We study existence and uniqueness of the invariant measure for a stochastic process with degenerate diffusion, whose infinitesimal generator is a linear subelliptic operator in the whole space R N with coefficients that may be unbounded.
Mannucci, Paola +2 more
core +3 more sources
, 2016 We show how to apply harmonic spaces potential theory in the study of the Dirichlet problem for a general class of evolution hypoelliptic partial differential equations of second order.
Kogoj, Alessia E.
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Global Gevrey hypoellipticity on the torus for a class of systems of complex vector fields
, 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
core +1 more source