@article{41e2ccc4156647358935e05da00c8931,
title = "A CARLEMAN ESTIMATE AND AN ENERGY METHOD FOR A FIRST-ORDER SYMMETRIC HYPERBOLIC SYSTEM",
abstract = "For a symmetric hyperbolic system of the first order, we prove a Carleman estimate under some positivity condition concerning the coefficient matrices. Next, applying the Carleman estimate, we prove an observability L2-estimate for initial values by boundary data.",
author = "Giuseppe Floridia and Hiroshi Takase and Masahiro Yamamoto",
note = "Funding Information: The second author was supported by Grant-in-Aid for JSPS Fellows JP20J11497 of Japan Society for the Promotion of Science. The third author was supported by Grant-in-Aid for Scientific Research (A) 20H00117 of Japan Society for the Promotion of Science. ∗Corresponding author: Masahiro Yamamoto. Funding Information: Acknowledgments. The authors thank the anonymous referee for careful reading and valuable comments. The first author was supported by Istituto Nazionale di Alta Matematica (INdAM), through the GNAMPA Research Project 2020, titled “Problemi inversi e di controllo per equazioni di evoluzione e loro applicazioni”, coordinated by G. Floridia. The second author was supported by Grant-in-Aid for JSPS Fellows JP20J11497 of Japan Society for the Promotion of Science. The third author was supported by Grant-in-Aid for Scientific Research (A) 20H00117 of Japan Society for the Promotion of Science. Publisher Copyright: {\textcopyright} 2022, American Institute of Mathematical Sciences. All rights reserved.",
year = "2022",
doi = "10.3934/ipi.2022016",
language = "English",
volume = "16",
pages = "1163--1178",
journal = "Inverse Problems and Imaging",
issn = "1930-8337",
publisher = "American Institute of Mathematical Sciences",
number = "5",
}