A WONG-ZAKAI THEOREM FOR THE STOCHASTIC MASS-CRITICAL NONLINEAR SCHRODINGER EQUATION

doi:10.1137/20M1347619

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	A WONG-ZAKAI THEOREM FOR THE STOCHASTIC MASS-CRITICAL NONLINEAR SCHRODINGER EQUATION
	Fan, Chenjie 1,2; Xu, Weijun 3
	2021
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	53 期号:3 页码:3681-3715
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.
关键词	Wong-Zakai mass-critical stochastic NLS
DOI	10.1137/20M1347619
收录类别	SCI
语种	英语
资助项目	AMSS ; Engineering and Physical Sciences Research Council[EP/N021568/1]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000674276100031
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59054
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.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, 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.