Based on the theory of semi-global classical solutions to quasilinear hyperbolic systems, the authors apply a unified constructive method to establish the local exact boundary(null) controllability and the local bound...Based on the theory of semi-global classical solutions to quasilinear hyperbolic systems, the authors apply a unified constructive method to establish the local exact boundary(null) controllability and the local boundary(weak) observability for a coupled system of 1-D quasilinear wave equations with various types of boundary conditions.展开更多
文摘Based on the theory of semi-global classical solutions to quasilinear hyperbolic systems, the authors apply a unified constructive method to establish the local exact boundary(null) controllability and the local boundary(weak) observability for a coupled system of 1-D quasilinear wave equations with various types of boundary conditions.
基金Acknowledgements He's research is supported in part by National Basic Research Program of China (Grant No. 2006CB805902). Huang' research is supported in part by National Natural Science Foundation of China for Distinguished Youth Scholar (Grant No. 10825102), NSFC-NSAF (Grant No. 10676037) and National Basic Research Program of China (Grant No. 2006CB805902).