Gelfand-Shilov and Gevrey smoothing effect of the Cauchy problem for Fokker-Planck equation

被引：0

作者：

Li, Hao-Guang ^{[1
]}

Liu, Jing ^{[1
]}

机构：

[1] South Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 477卷 / 01期

关键词：

Gelfand-Shilov and Gevrey smoothing effect; Cauchy problem; Fokker-Planck equation; Spectral decomposition; CRITICAL BESOV SPACE; CUTOFF; LANDAU;

D O I：

10.1016/j.jmaa.2019.04.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study the Cauchy problem for Fokker-Planck equation with the external potential. We show that the solution of the Cauchy problem enjoys GelfandShilov S-1(1) (R-3) regularizing property with respect to the velocity variable and Gevrey G(3/2)(R-3) regularizing property with respect to the position variable. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：222 / 249

页数：28

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