Global Exact Boundary Controllability for Cubic Semi-linear Wave Equations and Klein-Gordon Equations
Global Exact Boundary Controllability for Cubic Semi-linear Wave Equations and Klein-Gordon Equations作者机构：Key Laboratory of Mathematics for Nonlinear Sciences School of Mathematical Sciences Fudan University Shanghai 200433 China School of Mathematical Sciences Fudan University Shanghai 200433 China
出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)
年 卷 期：2010年第31卷第1期
页 面：35-58页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：supported by the National Natural Science Foundation of China (No. 10728101) the 973 Project ofthe Ministry of Science and Technology of China the Doctoral Program Foundation of the Ministry of Ed-ucation of China the "111" Project and the Postdoctoral Science Foundation of China (No. 20070410160)
主 题：Global exact boundary controllability Cubic semi-linear wave equations The exponential decay Star-shaped Star-complemented Cubic Klein- Gordon equations
摘 要：The authors prove the global exact boundary controllability for the cubic semilinear wave equation in three space dimensions,subject to Dirichlet,Neumann,or any other kind of boundary controls which result in the well-posedness of the corresponding initial-boundary value *** exponential decay of energy is first established for the cubic semi-linear wave equation with some boundary condition by the multiplier method,which reduces the global exact boundary controllability problem to a local *** proof is carried out in line with [2,15].Then a constructive method that has been developed in [13] is used to study the local *** when the region is star-complemented,it is obtained that the control function only need to be applied on a relatively open subset of the *** the cubic Klein-Gordon equation,similar results of the global exact boundary controllability are proved by such an idea.
维普期刊数据库
同方期刊数据库