A Survey on Exact Boundary Controllability for the Korteweg-De Vries Equation on a Bounded Domain
Date Issued
2016
Date
2016
Author(s)
Li, Po-Wei
Abstract
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.
Subjects
KdV equation
H.U.M.
Fourier transform
semigroup
Lax-Milgram theorem
Type
thesis