CSpace  > 计算数学与科学工程计算研究所
Optimal regularity of stochastic evolution equations in M-type 2 Banach space
Hong, Jialin1,2; Huang, Chuying1,2; Liu, Zhihui3
2019-07-15
发表期刊JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN0022-0396
卷号267期号:3页码:1955-1971
摘要In this paper, we prove the well-posedness and optimal trajectory regularity for the solution of stochastic evolution equations driven by general multiplicative noises in martingale type 2 Banach spaces. The main idea of our method is to combine the approach in [9] dealing with Hilbert setting and a version of Burkholder inequality in M-type 2 Banach space. Applying our main results to the stochastic heat equation gives a positive answer to an open problem proposed in [10]. (C) 2019 Elsevier Inc. All rights reserved.
关键词Stochastic evolution equation Multiplicative noise Well-posedness Trajectory regularity Factorization method
DOI10.1016/j.jde.2019.03.003
语种英语
资助项目National Natural Science Foundation of China[91630312] ; National Natural Science Foundation of China[91530118] ; National Natural Science Foundation of China[91130003] ; National Natural Science Foundation of China[11021101] ; National Natural Science Foundation of China[11290142]
WOS研究方向Mathematics
WOS类目Mathematics
WOS记录号WOS:000466399400014
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/34618
专题计算数学与科学工程计算研究所
通讯作者Liu, Zhihui
作者单位1.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Clear Water Bay, Hong Kong, Peoples R China
推荐引用方式
GB/T 7714
Hong, Jialin,Huang, Chuying,Liu, Zhihui. Optimal regularity of stochastic evolution equations in M-type 2 Banach space[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2019,267(3):1955-1971.
APA Hong, Jialin,Huang, Chuying,&Liu, Zhihui.(2019).Optimal regularity of stochastic evolution equations in M-type 2 Banach space.JOURNAL OF DIFFERENTIAL EQUATIONS,267(3),1955-1971.
MLA Hong, Jialin,et al."Optimal regularity of stochastic evolution equations in M-type 2 Banach space".JOURNAL OF DIFFERENTIAL EQUATIONS 267.3(2019):1955-1971.
条目包含的文件
条目无相关文件。
个性服务
推荐该条目
保存到收藏夹
查看访问统计
导出为Endnote文件
谷歌学术
谷歌学术中相似的文章
[Hong, Jialin]的文章
[Huang, Chuying]的文章
[Liu, Zhihui]的文章
百度学术
百度学术中相似的文章
[Hong, Jialin]的文章
[Huang, Chuying]的文章
[Liu, Zhihui]的文章
必应学术
必应学术中相似的文章
[Hong, Jialin]的文章
[Huang, Chuying]的文章
[Liu, Zhihui]的文章
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。