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SEMICLASSICAL LIMIT AND WELL-POSEDNESS OF NONLINEAR SCHRODINGER-POISSON SYSTEMS
Li, Hailiang1,2; Lin, Chi-Kun3
2003
Source PublicationELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN1072-6691
Pages18
AbstractThis 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.
KeywordSchrodinger-Poisson system quantum hydrodynamics Euler-Poisson system semiclassical limit WKB expansion quasilinear symmetric hyperbolic system
Language英语
Funding ProjectAustrian-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 Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000208969400090
PublisherTEXAS STATE UNIV
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18512
Collection中国科学院数学与系统科学研究院
Corresponding AuthorLi, Hailiang
Affiliation1.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
Recommended Citation
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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