ON GLOBAL EXISTENCE AND BLOW-UP FOR DAMPED STOCHASTIC NONLINEAR SCHRODINGER EQUATION
文献类型：期刊论文
| 作者 | Cui, Jianbo2; Hong, Jialin ; Sun, Liying
|
| 刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
 |
| 出版日期 | 2019-12-01 |
| 卷号 | 24期号:12页码:6837-6854 |
| 关键词 | Stochastic nonlinear Schrodinger equation multiplicative noise global existence blow-up exponential integrability |
| ISSN号 | 1531-3492 |
| DOI | 10.3934/dcdsb.2019169 |
| 英文摘要 | 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. |
| 资助项目 | 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研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000484545100025 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35689]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Cui, Jianbo |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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