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 |
| 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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