CSpace
Stability of solutions for nonlinear Schrodinger equations in critical spaces
Li Dong1; Zhang XiaoYi1,2
2011-05-01
Source PublicationSCIENCE CHINA-MATHEMATICS
ISSN1674-7283
Volume54Issue:5Pages:973-986
AbstractWe consider the Cauchy problem for nonlinear Schrodinger equation iu(t) + Delta u = +/-|u|(p)u, 4/d < p < 4/d-2 in high dimensions d >= 6. We prove the stability of solutions in the critical space (H)over dot(x)(8p), where 8(p) = d/2 - 2/p.
KeywordSchrodinger equation stability critical space
DOI10.1007/s11425-011-4204-y
Language英语
Funding ProjectUniversity of Iowa ; US National Science Foundation[0908032] ; Alfred P. Sloan Research Fellowship
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000290768800009
PublisherSCIENCE PRESS
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/12679
Collection中国科学院数学与系统科学研究院
Affiliation1.Univ Iowa, Dept Math, Iowa City, IA 52242 USA
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Li Dong,Zhang XiaoYi. Stability of solutions for nonlinear Schrodinger equations in critical spaces[J]. SCIENCE CHINA-MATHEMATICS,2011,54(5):973-986.
APA Li Dong,&Zhang XiaoYi.(2011).Stability of solutions for nonlinear Schrodinger equations in critical spaces.SCIENCE CHINA-MATHEMATICS,54(5),973-986.
MLA Li Dong,et al."Stability of solutions for nonlinear Schrodinger equations in critical spaces".SCIENCE CHINA-MATHEMATICS 54.5(2011):973-986.
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