LOCAL UNIQUENESS AND REFINED SPIKE PROFILES OF GROUND STATES FOR TWO-DIMENSIONAL ATTRACTIVE BOSE-EINSTEIN CONDENSATES
文献类型：期刊论文
| 作者 | Guo, Yujin3; Lin, Changshou2; Wei, Juncheng1 |
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2017 |
| 卷号 | 49期号:5页码:3671-3715 |
| 关键词 | Bose-einstein Condensation Spike Profiles Local Uniqueness Pohozaev Identity |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/16M1100290 |
| 文献子类 | Article |
| 英文摘要 | We consider ground states of two-dimensional Bose-Einstein condensates in a trap with attractive interactions, which can be described equivalently by positive minimizers of the L-2 -critical constraint Gross-Pitaevskii energy functional. It is known that ground states exist if and only if a < a* := ||omega||(2)(2), where a denotes the interaction strength and omega is the unique positive solution of Delta omega - omega + omega(3) - 0 in R-2. In this paper, we prove the local uniqueness and refined spike profiles of ground states as a NE arrow a*, provided that the trapping potential h(x) is homogeneous and H(y) = integral R-2 h(x + y)omega(2)(x)dx admits a unique and nondegenerate critical point. |
| WOS关键词 | NONLINEAR SCHRODINGER-EQUATIONS ; POSITIVE BOUND-STATES ; STABILITY ; SYMMETRY ; COLLAPSE ; RN |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000416766900012 |
| 出版者 | SIAM PUBLICATIONS |
| 资助机构 | NSFC(11322104 ; NSFC(11322104 ; NSERC of Canada ; NSERC of Canada ; 11671394) ; 11671394) ; NSFC(11322104 ; NSFC(11322104 ; NSERC of Canada ; NSERC of Canada ; 11671394) ; 11671394) ; NSFC(11322104 ; NSFC(11322104 ; NSERC of Canada ; NSERC of Canada ; 11671394) ; 11671394) ; NSFC(11322104 ; NSFC(11322104 ; NSERC of Canada ; NSERC of Canada ; 11671394) ; 11671394) |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/12736]  |
| 专题 | 中国科学院武汉物理与数学研究所 |
| 通讯作者 | Guo, Yujin |
| 作者单位 | 1.Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada 2.Natl Taiwan Univ, Taida Inst Math Sci, Taipei 10617, Taiwan 3.Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan 430071, Hubei, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, Yujin,Lin, Changshou,Wei, Juncheng. LOCAL UNIQUENESS AND REFINED SPIKE PROFILES OF GROUND STATES FOR TWO-DIMENSIONAL ATTRACTIVE BOSE-EINSTEIN CONDENSATES[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2017,49(5):3671-3715. |
| APA | Guo, Yujin,Lin, Changshou,&Wei, Juncheng.(2017).LOCAL UNIQUENESS AND REFINED SPIKE PROFILES OF GROUND STATES FOR TWO-DIMENSIONAL ATTRACTIVE BOSE-EINSTEIN CONDENSATES.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,49(5),3671-3715. |
| MLA | Guo, Yujin,et al."LOCAL UNIQUENESS AND REFINED SPIKE PROFILES OF GROUND STATES FOR TWO-DIMENSIONAL ATTRACTIVE BOSE-EINSTEIN CONDENSATES".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 49.5(2017):3671-3715. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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