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Unique continuation along curves and hypersurfaces for second order anisotropic hyperbolic systems with real analytic coefficients |
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| Authors: | Jin Cheng Ching-Lung Lin Gen Nakamura |
| Institution: | Department of Mathematics, Fudan University, Shanghai 200433, People's Republic of China ; Department of Mathematics, National Chung-Cheng University, Chia-Yi 62117, Taiwan ; Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan |
| Abstract: | In this paper we prove the following kind of unique continuation property. That is, the zero on each geodesic of the solution in a real analytic hypersurface for second order anisotropic hyperbolic systems with real analytic coefficients can be continued along this curve. |
| Keywords: | Unique continuation anisotropic hyperbolic system analytic coefficients localized Fourier-Gauss transform |
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