Exact Boundary Controllability For 1-D Quasilinear Equations

This paper mainly studys the exact boundary controllability for one-dimensional quasi-linear wave equation with general boundary conditions by a unified constructive method. First, so-called semi-global classical solutions which is different from either the local clas-sical solution or the global classical solution to first order quasilinear hyperbolic systems will be established. Then, we can get the exact boundary controllability for one-dimensional quasilinear wave equation. In this paper, four different kinds of specific boundary conditions, which are showed as follow:will be extended into general boundary condition...