理學院: 數學研究所指導教授: 夏俊雄李柏緯Li, Po-WeiPo-WeiLi2017-03-062018-06-282017-03-062018-06-282016http://ntur.lib.ntu.edu.tw//handle/246246/276900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.論文使用權限: 不同意授權KdV 方程Hilbert 唯一性方法Fourier 轉換半群Lax- Milgram 定理KdV equationH.U.M.Fourier transformsemigroupLax-Milgram theoremthesis10.6342/NTU201601108