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.
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页码：137 / 150
页数：14
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