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
Source Publication	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
Volume	267 Issue:3 Pages:1955-1971
Abstract	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.
Keyword	Stochastic evolution equation Multiplicative noise Well-posedness Trajectory regularity Factorization method
DOI	10.1016/j.jde.2019.03.003
Language	英语
Funding Project	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 Research Area	Mathematics
WOS Subject	Mathematics
WOS ID	WOS:000466399400014
Publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics	Cited Times:1[WOS] [WOS Record] [Related Records in WOS]
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/34618
Collection	计算数学与科学工程计算研究所
Affiliation	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
Recommended Citation 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.

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