Exact boundary controllability of nodal profile for quasilinear wave equations in a planar tree‐like network of strings |
| |
| Authors: | Ke Wang Qilong Gu |
| |
| Institution: | 1. School of Mathematical Sciences, Fudan University, , Shanghai, 200433 PR China;2. Department of Mathematics, Shanghai Jiao Tong University, , Shanghai, 200240 PR China |
| |
| Abstract: | Based on the theory of semi‐global piecewise C2 solutions to 1D quasilinear wave equations, the local exact boundary controllability of nodal profile for quasilinear wave equations in a planar tree‐like network of strings with general topology is obtained by a constructive method. The principles of providing nodal profiles and of choosing and transferring boundary controls are presented, respectively. Copyright © 2013 John Wiley & Sons, Ltd. |
| |
| Keywords: | quasilinear wave equations exact boundary controllability of nodal profile planar tree‐like network of strings |
|
|
