Exact Boundary Controllability for a Coupled System of Wave Equations with Neumann Boundary Controls |
| |
Authors: | Tatsien LI and Bopeng RAO |
| |
Institution: | 1. School of Mathematical Sciences, Fudan University, Shanghai 200433, China;Shanghai Key Laboratory for Contemporary Applied Mathematics;Nonlinear Mathematical Modeling and Methods Laboratory;2. Institut de Recherche Mathématique Avancée, Université de Strasbourg, 67084 Strasbourg, France |
| |
Abstract: | This paper first shows the exact boundary controllability for a coupled system of wave equations with Neumann boundary controls.In order to establish the corresponding observability inequality,the authors introduce a compact perturbation method which does not depend on the Riesz basis property,but depends only on the continuity of projection with respect to a weaker norm,which is obviously true in many cases of application.Next,in the case of fewer Neumann boundary controls,the non-exact boundary controllability for the initial data with the same level of energy is shown. |
| |
Keywords: | Compactness-uniqueness perturbation Boundary observability Exact boundary controllability Non-exact boundary controllability Coupled system of wave equations Neumann boundary condition |
本文献已被 万方数据 SpringerLink 等数据库收录! |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |