請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/29619完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 林太家 | |
| dc.contributor.author | Yu-Yu Liu | en |
| dc.contributor.author | 劉育佑 | zh_TW |
| dc.date.accessioned | 2021-06-13T01:12:26Z | - |
| dc.date.available | 2007-07-26 | |
| dc.date.copyright | 2007-07-26 | |
| dc.date.issued | 2007 | |
| dc.date.submitted | 2007-07-20 | |
| dc.identifier.citation | References
[1] M.K. Kwong, Uniqueness of positive solutions of Delta u-u+up = 0 in Rn, Arch. Rational Mech. Anal. 105 (1989) 243-266. [2] T.-C. Lin and J. Wei, Spikes in two coupled nonlinear Schrödinger equations, Ann. I. H. Poincare Analyse. Non. 22, no.4 (2005) 403-439. [3] D. Mozyrsky, I. Martin, E. Timmermans, Coherent macroscopic quantum tunneling in boson-fermion mixtures, arXiv:0704.0650v1. [4] M. Willem, Minimax Theorems, PNLDE 24, Birkhauser, 1996. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/29619 | - |
| dc.description.abstract | 本文我們探討一個非線性薛丁格方程式。利用變分法上的技巧，我們分析能量泛函的幾何結構，找到了一個局部極小值以及一個鞍點。也因此我們證明了方程式存在兩個解，分別對應了基態以及束縛態。 | zh_TW |
| dc.description.abstract | In this paper we consider a nonlinear Schrödinger equation.
By Nehari manifold approach, the geometry of energy functional admits a minimum and a saddle point. Hence we can find two solutions of the equation which correspond to a ground state and a bound state. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-13T01:12:26Z (GMT). No. of bitstreams: 1 ntu-96-R94221026-1.pdf: 255932 bytes, checksum: 7b2c60f65130e8ef9ca040985f5a30f7 (MD5) Previous issue date: 2007 | en |
| dc.description.tableofcontents | Contents
Abstract v 1 Introduction and Main Results 1 2 Preliminary 3 3 Study on Nehari Manifold 7 4 Existence of Ground State 13 5 Existence of Bound State 16 References 18 | |
| dc.language.iso | en | |
| dc.subject | 變分法 | zh_TW |
| dc.subject | 基態 | zh_TW |
| dc.subject | 束縛態 | zh_TW |
| dc.subject | 非線性薛丁格方程式 | zh_TW |
| dc.subject | Ground state | en |
| dc.subject | Bound state | en |
| dc.subject | Nehari manifold | en |
| dc.subject | Nonlinear Schrodinger equation | en |
| dc.title | 非線性薛丁格方程之基態與束縛態 | zh_TW |
| dc.title | Ground and Bound States of Nonlinear Schrödinger Equation | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 95-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 林惠莉,袁淵明 | |
| dc.subject.keyword | 非線性薛丁格方程式,基態,束縛態,變分法, | zh_TW |
| dc.subject.keyword | Nonlinear Schrodinger equation,Ground state,Bound state,Nehari manifold, | en |
| dc.relation.page | 18 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2007-07-20 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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