Optimal regularity of stochastic evolution equations in M-type 2 Banach space

doi:10.1016/j.jde.2019.03.003

	Optimal regularity of stochastic evolution equations in M-type 2 Banach space
	Hong, Jialin1,2 ; Huang, Chuying 1,2; Liu, Zhihui 3
	2019-07-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
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
DOI	10.1016/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.