KMS Of Academy of mathematics and systems sciences, CAS
| Optimal regularity of stochastic evolution equations in M-type 2 Banach space | |
Hong, Jialin1,2 ; Huang, Chuying1,2; Liu, Zhihui3
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| 2019-07-15 | |
| Source Publication | JOURNAL OF DIFFERENTIAL EQUATIONS
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| ISSN | 0022-0396 |
| Volume | 267Issue:3Pages: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 | |
| 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 |
| Corresponding Author | Liu, Zhihui |
| 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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