Exact boundary observability for a kind of second-order quasilinear hyperbolic system |
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Authors: | Lixin Yu |
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Institution: | School of Mathematics and Information Sciences, Yantai University, Yantai, Shandong 264005, China |
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Abstract: | In this paper, by means of a constructive method based on the existence and uniqueness of the semi-global classical solution, we establish the local exact boundary observability for a kind of second-order quasilinear hyperbolic system in which the number of positive eigenvalues and the number of negative ones are not equal. As an application, we obtain the one-sided local exact boundary observability and two-sided local exact boundary observability with fewer observed values for 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 ones are decoupled. |
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Keywords: | Exact boundary observability Second-order quasilinear hyperbolic system Mixed initial-boundary value problem |
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