SEMICLASSICAL LIMIT OF GROSS-PITAEVSKII EQUATION WITH DIRICHLET BOUNDARY CONDITION
文献类型：期刊论文
| 作者 | Gui, Guilong4; Zhang, Ping1,2,3 |
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2022 |
| 卷号 | 54期号:1页码:1053-1104 |
| 关键词 | semiclassical limit Schrodinger equation boundary layer successive complementary expansion method |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/20M1369749 |
| 英文摘要 | In this paper, we justify the semiclassical limit of the Gross-Pitaevskii equation with Dirichlet boundary condition on the three-dimensional upper space under the assumption that the leading-order terms to both initial amplitude and initial phase function are sufficiently small in some high enough Sobolev norms. We remark that the main difficulty of the proof lies in the fact that the boundary layer appears in the leading-order terms of the amplitude functions and the gradient of the phase functions to the WKB expansions of the solutions. In particular, we partially solved the open question proposed in [D. Chiron and F. Rousset, Comm. Math. Phys., 288 (2009), pp. 503-546; C. T. Pham, C. Nore, and M. E. Brachet, Phys. D, 210 (2005), pp. 203-226] concerning the semiclassical limit of the Gross-Pitaevskii equation with Dirichlet boundary condition. |
| 资助项目 | National Natural Science Foundation of China (NSFC)[11571279] ; K. C. Wong Education Foundation ; NSFC[11731007] ; NSFC[12031006] ; NSFC[11688101] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000762768000031 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60139]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Gui, Guilong |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gui, Guilong,Zhang, Ping. SEMICLASSICAL LIMIT OF GROSS-PITAEVSKII EQUATION WITH DIRICHLET BOUNDARY CONDITION[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2022,54(1):1053-1104. |
| APA | Gui, Guilong,&Zhang, Ping.(2022).SEMICLASSICAL LIMIT OF GROSS-PITAEVSKII EQUATION WITH DIRICHLET BOUNDARY CONDITION.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,54(1),1053-1104. |
| MLA | Gui, Guilong,et al."SEMICLASSICAL LIMIT OF GROSS-PITAEVSKII EQUATION WITH DIRICHLET BOUNDARY CONDITION".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 54.1(2022):1053-1104. |
入库方式： OAI收割
来源：数学与系统科学研究院
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