The Gevrey Hypoellipticity for linear and non-linear Fokker-Planck equations

Hua Chen, Wei‐Xi Li, Chao-Jiang Xu

Type: Preprint

Publication Date: 2009-01-01

Citations: 3

Abstract

In this paper, we study the Gevrey regularity of weak solution for a class of linear and quasilinear Fokker-Planck equations.

Locations

arXiv (Cornell University) - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF
publish.UP (University of Potsdam) - View - PDF

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Works Cited by This (12)

Action	Title	Year	Authors
+	Introduction to Pseudodifferential and Fourier Integral Operators	1980	François Trèves
+	Smoothness of the Solution of the Spatially Homogeneous Boltzmann Equation without Cutoff	2004	Laurent Desvillettes Bernt Wennberg
+	Entropy Dissipation and Long-Range Interactions	2000	Radjesvarane Alexandre Laurent Desvillettes Cédric Villani Bernt Wennberg
+ PDF Chat	Hypoelliptic second order differential equations	1967	Lars Hörmander
+	Uncertainty principle and regularity for Boltzmann type equations	2007	Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+	Local solutions in gevrey classes to the nonlinear Boltzmann equation without cutoff	1984	Seiji Ukai
+	Hypoelliptic regularity in kinetic equations	2002	François Bouchut
+	Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff	2009	Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+	On a New Class of Weak Solutions to the Spatially Homogeneous Boltzmann and Landau Equations	1998	Cédric Villani
+ PDF Chat	Isotropic Hypoellipticity and Trend to Equilibrium for the Fokker-Planck Equation with a High-Degree Potential	2003	Frédéric Hérau Francis Nier