KMS Of Academy of mathematics and systems sciences, CAS
SEMICLASSICAL LIMIT AND WELL-POSEDNESS OF NONLINEAR SCHRODINGER-POISSON SYSTEMS | |
Li, Hailiang1,2; Lin, Chi-Kun3 | |
2003 | |
发表期刊 | ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS |
ISSN | 1072-6691 |
页码 | 18 |
摘要 | This paper concerns the well-posedness and semiclassical limit of nonlinear Schrodinger-Poisson systems. We show the local well-posedness and the existence of semiclassical limit of the two models for initial data with Sobolev regularity, before shocks appear in the limit system. We establish the existence of a global solution and show the time-asymptotic behavior of a classical solutions of Schrodinger-Poisson system for a fixed re-scaled Planck constant. |
关键词 | Schrodinger-Poisson system quantum hydrodynamics Euler-Poisson system semiclassical limit WKB expansion quasilinear symmetric hyperbolic system |
语种 | 英语 |
资助项目 | Austrian-Chinese Scientific Technical Collaboration Agreement ; Austrian FWF ; International Erwin Schrodinger Institute in Vienna ; CTS of Taiwan ; National Science Council of Taiwan[NSC90-2115-M-006-026] ; Wittgenstein Award |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000208969400090 |
出版者 | TEXAS STATE UNIV |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/18512 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Li, Hailiang |
作者单位 | 1.Univ Vienna, Inst Math, A-1090 Vienna, Austria 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 3.Natl Cheng Kung Univ, Dept Math, Tainan 701, Taiwan |
推荐引用方式 GB/T 7714 | Li, Hailiang,Lin, Chi-Kun. SEMICLASSICAL LIMIT AND WELL-POSEDNESS OF NONLINEAR SCHRODINGER-POISSON SYSTEMS[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,2003:18. |
APA | Li, Hailiang,&Lin, Chi-Kun.(2003).SEMICLASSICAL LIMIT AND WELL-POSEDNESS OF NONLINEAR SCHRODINGER-POISSON SYSTEMS.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,18. |
MLA | Li, Hailiang,et al."SEMICLASSICAL LIMIT AND WELL-POSEDNESS OF NONLINEAR SCHRODINGER-POISSON SYSTEMS".ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS (2003):18. |
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