摘要
This paper deals with the exact boundary controllability and the exact boundary synchronization for a 1-D system of wave equations coupled with velocities.These problems can not be solved directly by the usual HUM method for wave equations,however,by transforming the system into a first order hyperbolic system,the HUM method for 1-D first order hyperbolic systems,established by Li-Lu(2022)and Lu-Li(2022),can be applied to get the corresponding results.
基金
supported by the National Natural Science Foundation of China (Nos. 11831011,11901082)
the Natural Science Foundation of Jiangsu Province (No. BK20190323)
the Fundamental Research Funds for the Central Universities of China