Stochastic generalized Burgers equations driven by fractional noises

被引：44
|
作者：
Jiang, Yiming [1 ,2 ]
Wei, Tingting [1 ,2 ]
Zhou, Xiaowen [3 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
[3] Concordia Univ, Dept Math & Stat, Montreal, PQ H4B 1R6, Canada
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Stochastic generalized Burgers equation; Fractional noise; Density of the law; Malliavin calculus; HEAT-EQUATIONS; EXISTENCE; SPDES;
D O I：
10.1016/j.jde.2011.07.032
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The existence and uniqueness are proved for the solutions to a class of stochastic generalized Burgers equations driven by multi-parameter fractional noises. In addition, the existence and moment estimate are also obtained for the density of such a solution. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：1934 / 1961
页数：28
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