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
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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 |
DOI | 10.1007/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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