一维线性波动方程耦合组的精确边界同步能观性  

Exact Boundary Synchronizable Observability for a Coupled System of 1-D Linear Wave Equations

作　　者：王珂 石志娟 WANG Ke;SHI ZHijuan(Department of Mathematics,Donghua University,Shanghai 201620,China)

机构地区：[1]东华大学数学系,上海201620

出　　处：《数学年刊（A辑）》2020年第2期139-152,共14页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.11601074)

摘　　要：作者介绍了多种精确同步能观性,并对一维波动方程耦合组在多种边界条件下分别实现了精确边界同步能观性,分组精确边界同步能观性以及分组精确边界零能观性与同步能观性.In this paper,several kinds of exact synchronizable observability are introduced.The authors show that for a coupled system of 1-D wave equations with various boundary conditions,the exact boundary synchronizable observability,the exact boundary synchronizable observability by groups and the exact boundary null observability and synchronizable observability by groups can be realized,respectively.

关 键 词：精确边界同步能观性 分组精确边界同步能观性 分组精确边界零能观性与同步能观性 一维波动方程耦合组 

分 类 号：O175.27[理学—数学]