@article{7f3c7c73a4b24c0680e0ff8d6421ab15,
title = "Strong unique continuation for two-dimensional anisotropic elliptic systems",
abstract = "In this paper, we give the strong unique continuation property for a general two-dimensional anisotropic elliptic system with real coefficients in a Gevrey class under the assumption that the principal symbol of the system has simple characteristics. The strong unique continuation property is derived by obtaining some Carleman estimate. The derivation of the Carleman estimate is based on transforming the system to a larger second order elliptic system with diagonal principal part which has complex coefficients.",
author = "Rulin Kuan and Gen Nakamura and Satoshi Sasayama and Michael Hitrik",
note = "Funding Information: Received by the editors November 7, 2017, and, in revised form, September 28, 2018, and October 1, 2018. 2010 Mathematics Subject Classification. Primary 35B60; Secondary 35J47. Key words and phrases. Strong unique continuation property, anisotropic elliptic systems, Carleman estimates, Gevrey class. The first author was partially supported by the Ministry of Science and Technology, Taiwan under project MOST 105 - 2115 - M - 006 - 017 - MY2. The second author was supported by the National Center for Theoretical Sciences (NCTS) for his stay in National Taiwan University, Taipei, Taiwan, and was partially supported by Grant-in-Aid for Scientific Research (15K21766 and 15H05740) of the Japan Society for the Promotion of Science. Funding Information: The authors sincerely thank Professor Jenn-Nan Wang for many helpful discussions and suggestions. We would also like to thank an anonymous referee for giving us some useful comments which improved our paper. The first author was partially supported by the Ministry of Science and Technology, Taiwan under project MOST 105 - 2115 - M - 006 - 017 - MY2. The second author was supported by the National Center for Theoretical Sciences (NCTS) for his stay in National Taiwan University, Taipei, Taiwan, and was partially supported by Grant-in- Aid for Scientific Research (15K21766 and 15H05740) of the Japan Society for the Promotion of Science. Publisher Copyright: {\textcopyright} 2019 American Mathematical Society.",
year = "2019",
month = may,
doi = "10.1090/proc/14416",
language = "English",
volume = "147",
pages = "2171--2183",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "5",
}