Unique continuation along curves and hypersurfaces for second order anisotropic hyperbolic systems with real analytic coefficients
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- by Jin Cheng, Ching-Lung Lin and Gen Nakamura PDF
- Proc. Amer. Math. Soc. 133 (2005), 2359-2367 Request permission
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.References
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Additional Information
- Jin Cheng
- Affiliation: Department of Mathematics, Fudan University, Shanghai 200433, People’s Republic of China
- Email: jcheng@fudan.edu.cn
- Ching-Lung Lin
- Affiliation: Department of Mathematics, National Chung-Cheng University, Chia-Yi 62117, Taiwan
- MR Author ID: 721858
- Email: cllin@math.ccu.edu.tw
- Gen Nakamura
- Affiliation: Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan
- MR Author ID: 190160
- Email: gnaka@math.sci.hokudai.ac.jp
- Received by editor(s): December 12, 2003
- Published electronically: March 17, 2005
- Additional Notes: The first author was supported in part by NSF of China (No. 10431030), Shuguang Project of Shanghai Municipal Education Commission and the China State Major Basic Research Project 2001CB309400. The second author was supported in part by the Taiwan National Science Foundation. The third author was supported in part by Grant-in-Aid for Scientific Research (B)(2) (No.14340038) of the Japan Society for the Promotion of Science.
- Communicated by: David S. Tartakoff
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 2359-2367
- MSC (2000): Primary 35B60, 35L05
- DOI: https://doi.org/10.1090/S0002-9939-05-07782-8
- MathSciNet review: 2138878