A WONG-ZAKAI THEOREM FOR THE STOCHASTIC MASS-CRITICAL NONLINEAR SCHRODINGER EQUATION
文献类型：期刊论文
| 作者 | Fan, Chenjie2,3; Xu, Weijun1 |
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2021 |
| 卷号 | 53期号:3页码:3681-3715 |
| 关键词 | Wong-Zakai mass-critical stochastic NLS |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/20M1347619 |
| 英文摘要 | We prove a Wong-Zakai theorem for the defocusing stochastic mass-critical nonlinear Schrodinger equation on R. The main ingredients are careful mixtures of bootstrapping arguments at both deterministic and stochastic levels. Several subtleties arising from the proof mark the difference between the dispersive case and corresponding situations in SDEs and parabolic stochastic PDEs, as well as the difference between the large-n case and the limiting (n = infinity) case. |
| 资助项目 | AMSS ; Engineering and Physical Sciences Research Council[EP/N021568/1] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000674276100031 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59053]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Fan, Chenjie |
| 作者单位 | 1.Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Fan, Chenjie,Xu, Weijun. A WONG-ZAKAI THEOREM FOR THE STOCHASTIC MASS-CRITICAL NONLINEAR SCHRODINGER EQUATION[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2021,53(3):3681-3715. |
| APA | Fan, Chenjie,&Xu, Weijun.(2021).A WONG-ZAKAI THEOREM FOR THE STOCHASTIC MASS-CRITICAL NONLINEAR SCHRODINGER EQUATION.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,53(3),3681-3715. |
| MLA | Fan, Chenjie,et al."A WONG-ZAKAI THEOREM FOR THE STOCHASTIC MASS-CRITICAL NONLINEAR SCHRODINGER EQUATION".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 53.3(2021):3681-3715. |
入库方式： OAI收割
来源：数学与系统科学研究院
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