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Exact boundary observability for a kind of second order quasilinear hyperbolic systems and its applications
Authors:Lixin Yu
Affiliation:School of Mathematics and Information Sciences, Yantai University, Yantai, Shandong 264005, China
Abstract:In this paper, by means of a constructive method based on the existence and uniqueness of the semi-global C2 solution, we establish the local exact boundary observability for a kind of second order quasilinear hyperbolic systems. As an application, we obtain the one-sided local exact boundary observability for a kind of first order quasilinear hyperbolic systems of diagonal form with boundary conditions in which the diagonal variables corresponding to the positive eigenvalues and those corresponding to the negative eigenvalues are decoupled.
Keywords:Exact boundary observability   Quasilinear hyperbolic system   Mixed initial-boundary value problem
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