Large time behaviour for the Fokker-Planck equation with general potential

被引：3

作者：

Li, Te ^{[1
]}

Zhang, Zhifei ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2018年 / 61卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Fokker-Planck equation; large time behavior; hypocoercivity method; EQUILIBRIUM; TREND;

D O I：

10.1007/s11425-017-9084-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the large time behaviour of the solution of the Fokker-Planck equation with general potential. For the long range potential, we prove the polynomial decay estimate in time of the solution. For the slowly growing potential, we prove the sub-exponential convergence of the solution toward the equilibrium.

引用

页码：137 / 150

页数：14

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