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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/29619| Title: | 非線性薛丁格方程之基態與束縛態 Ground and Bound States of Nonlinear Schrödinger Equation |
| Authors: | Yu-Yu Liu 劉育佑 |
| Advisor: | 林太家 |
| Keyword: | 非線性薛丁格方程式,基態,束縛態,變分法, Nonlinear Schrodinger equation,Ground state,Bound state,Nehari manifold, |
| Publication Year : | 2007 |
| Degree: | 碩士 |
| 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。 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. |
| URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/29619 |
| Fulltext Rights: | 有償授權 |
| Appears in Collections: | 數學系 |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| ntu-96-1.pdf Restricted Access | 249.93 kB | Adobe PDF |
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