Exact boundary controllability for a kind of second-order quasilinear hyperbolic systems
The author considers the exact boundary controllability for a kind of second-order quasilinear hyperbolic systems. Based on the existence and uniqueness of semi-global \(C^1\) solution and the local exact boundary controllability for first-order quasilinear hyperbolic systems, by as contractive method developed by \textit{T. Li} [Controllability and observability for quasilinear hyberbolic systems. Beijing: Higher Education Press (2010; Zbl 1198.93003)], he obtained the local exact boundary controllability for this skind of second-order quasilinear hyperbolic systems.
first-order quasilinear hyperbolic systems
second-order quasilinear hyperbolic systems
scientific article; zbMATH DE number 6138468