1 School of Mathematics, Shandong University, Jinan, Shandong
250100, P.R. China.
2 School of Mathematical Sciences, Fudan University, Shanghai 200433, P.R. China.
3 Sorbonne Universités, UPMC Univ Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions, 75005 Paris, France.
4 School of Mathematical Sciences, Fudan University; Shanghai Key Laboratory for Contemporary Applied Mathematics; Nonlinear Mathematical Modeling and Methods Laboratory, Shanghai 200433, P.R. China.
Accepted: 7 June 2016
Based on the theory of semi-global classical solutions for quasilinear hyperbolic systems, under suitable hypotheses, an iteration procedure given by a unified constructive method is presented to establish the exact boundary synchronization for a coupled system of 1-D quasilinear wave equations with boundary conditions of various types.
Mathematics Subject Classification: 93B05 / 35L04
Key words: Exact boundary synchronization / coupled system of quasilinear wave equations
Supported by the China Scholarship Council for Ph.D. study at UPMC (No. 201306100081) and the ERC advanced grant 266907 (CPDENL) of the 7th Research Framework Programme (FP7).
Supported by the National Basic Research Program of China (No. 2013CB834100) and the National Natural Science Foundation of China (No. 11121101).
© EDP Sciences, SMAI 2016