Exact boundary controllability of nodal profile for 1-D quasilinear wave equations

Abstract

Based on the theory of semi-global C² solution for 1-D quasilinear wave equations, the local exact boundary controllability of nodal profile for 1-D quasilinear wave equations is obtained by a constructive method, and the corresponding global exact boundary controllability of nodal profile is also obtained under certain additional hypotheses.

Keywords

Quasilinear wave equation / quasilinear hyperbolic system / local exact boundary controllability of nodal profile / global exact boundary controllability of nodal profile

References

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2014 Higher Education Press and Springer-Verlag Berlin Heidelberg