KMS Of Academy of mathematics and systems sciences, CAS
| ON GLOBAL EXISTENCE AND BLOW-UP FOR DAMPED STOCHASTIC NONLINEAR SCHRODINGER EQUATION | |
Cui, Jianbo1; Hong, Jialin ; Sun, Liying
| |
| 2019-12-01 | |
| Source Publication | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
 |
| ISSN | 1531-3492 |
| Volume | 24Issue:12Pages:6837-6854 |
| Abstract | In this paper, we consider the well-posedness of the weakly damped stochastic nonlinear Schrodinger(NLS) equation driven by multiplicative noise. First, we show the global existence of the unique solution for the damped stochastic NLS equation in critical case. Meanwhile, the exponential integrability of the solution is proved, which implies the continuous dependence on the initial data. Then, we analyze the effect of the damped term and noise on the blow-up phenomenon. By modifying the associated energy, momentum and variance identity, we deduce a sharp blow-up condition for damped stochastic NLS equation in supercritical case. Moreover, we show that when the damped effect is large enough, the damped effect can prevent the blow-up of the solution with high probability. |
| Keyword | Stochastic nonlinear Schrodinger equation multiplicative noise global existence blow-up exponential integrability |
| DOI | 10.3934/dcdsb.2019169 |
| 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[11021101] ; National Natural Science Foundation of China[11290142] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000484545100025 |
| Publisher | AMER INST MATHEMATICAL SCIENCES-AIMS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/35690 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Cui, Jianbo |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Cui, Jianbo,Hong, Jialin,Sun, Liying. ON GLOBAL EXISTENCE AND BLOW-UP FOR DAMPED STOCHASTIC NONLINEAR SCHRODINGER EQUATION[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2019,24(12):6837-6854. |
| APA | Cui, Jianbo,Hong, Jialin,&Sun, Liying.(2019).ON GLOBAL EXISTENCE AND BLOW-UP FOR DAMPED STOCHASTIC NONLINEAR SCHRODINGER EQUATION.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,24(12),6837-6854. |
| MLA | Cui, Jianbo,et al."ON GLOBAL EXISTENCE AND BLOW-UP FOR DAMPED STOCHASTIC NONLINEAR SCHRODINGER EQUATION".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 24.12(2019):6837-6854. |
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