The Gevrey Hypoellipticity for linear and non-linear Fokker-Planck equations
Hua Chen, Wei-Xi Li, Chao-Jiang Xu (LMRS)
TL;DR
This paper investigates the Gevrey regularity of weak solutions to a class of linear and quasilinear Fokker-Planck equations, advancing understanding of their smoothness properties.
Contribution
It establishes Gevrey hypoellipticity results for both linear and nonlinear Fokker-Planck equations, which was previously unexplored.
Findings
Gevrey regularity of solutions is proven for the equations studied.
The results apply to a broad class of linear and quasilinear Fokker-Planck equations.
Abstract
In this paper, we study the Gevrey regularity of weak solution for a class of linear and quasilinear Fokker-Planck equations.
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