Regularity of solutions to differential equations with non-Lipschitz coefficients

被引:5
|
作者
Luo, Dejun [1 ]
机构
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
来源
BULLETIN DES SCIENCES MATHEMATIQUES | 2008年 / 132卷 / 04期
关键词
differential equation; non-Lipschitz condition; Holder continuous; Hausdorff dimension;
D O I
10.1016/j.bulsci.2007.05.003
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the ordinary and stochastic differential equations whose coefficients satisfy certain non-Lipschitz conditions, namely, we study the behaviors of small subsets under the flows generated by these equations. (C) 2007 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:257 / 271
页数:15
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