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Unique continuation for the elastic transversely isotropic dynamical systems and its application |
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| Authors: | Ching-Lung Lin Gen Nakamura Mourad Sini |
| Institution: | a Department of Mathematics, National Cheng Kung University, Tainan 70101, Taiwan b Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan c Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergerstr. 69, A-4040 Linz, Austria |
| Abstract: | In this paper we prove the unique continuation property of the solution for the elastic transversely isotropic dynamical systems with smooth coefficients satisfying some conditions and apply it to extending the Dirichlet to Neumann map. The proof is based on the localized Fourier-Gauss transformation and Carleman type estimate. |
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