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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/19305| Title: | KdV方程在有界域內的精準邊界控制性之探討 A Survey on Exact Boundary Controllability for the Korteweg-De Vries Equation on a Bounded Domain |
| Authors: | Po-Wei Li 李柏緯 |
| Advisor: | 夏俊雄 |
| Keyword: | KdV 方程,Hilbert 唯一性方法,Fourier 轉換,半群,Lax- Milgram 定理, KdV equation,H.U.M.,Fourier transform,semigroup,Lax-Milgram theorem, |
| Publication Year : | 2016 |
| Degree: | 碩士 |
| Abstract: | 在這篇文章中我們探討控制理論之Lionel Rosier 定理。控制性概括
來說: 給定初始狀態及終端狀態，我們希望找到一個控制函數來引導此 系統，使得給定初始值之系統能確保終端時刻的狀態是我們所要的。 而此篇研究的對象為KdV 方程。 In this paper we shall survey Lionel Rosier’s theorem ([9]) about control theory. Roughly speaking, by controllability ([3]) we mean: given the initial state and the terminal state, we want to find a control function which can steer the system, such that the system with initial data can ensure the terminal state is the desired. In this paper, we study the KdV equation. |
| URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/19305 |
| DOI: | 10.6342/NTU201601108 |
| Fulltext Rights: | 未授權 |
| Appears in Collections: | 數學系 |
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| File | Size | Format | |
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| ntu-105-1.pdf Restricted Access | 618.76 kB | Adobe PDF |
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