中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
A note on the illposedness for anisotropic nonlinear Schrodinger equation

文献类型:期刊论文

作者Zhang, Xiao Yi
刊名ACTA MATHEMATICA SINICA-ENGLISH SERIES
出版日期2008-06-01
卷号24期号:6页码:891-900
关键词anisotropic Schrodinger equation anisotropic Sobolev space illposedness
ISSN号1439-8516
DOI10.1007/s10114-007-5418-3
英文摘要In this short note, we show the illposedness of anisotropic Schrodinger equation in L(2) if the growth of nonlinearity is larger than a threshold power p which is also the critical power for blowup, as Fibich, Ilan and Schochet have pointed out recently. The illposedness in anisotropic Sobolev space H(k,d-k)(2s,s) where 0 < s < s(c), s(c) = d/2 - k/4 - 2/p-1, and the illposedness in Sobolev space of negative order H(s), s < 0 are also proved.
语种英语
WOS记录号WOS:000257436500002
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/6877]  
专题中国科学院数学与系统科学研究院
通讯作者Zhang, Xiao Yi
作者单位Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714
Zhang, Xiao Yi. A note on the illposedness for anisotropic nonlinear Schrodinger equation[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2008,24(6):891-900.
APA Zhang, Xiao Yi.(2008).A note on the illposedness for anisotropic nonlinear Schrodinger equation.ACTA MATHEMATICA SINICA-ENGLISH SERIES,24(6),891-900.
MLA Zhang, Xiao Yi."A note on the illposedness for anisotropic nonlinear Schrodinger equation".ACTA MATHEMATICA SINICA-ENGLISH SERIES 24.6(2008):891-900.

入库方式: OAI收割

来源:数学与系统科学研究院

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