Uniqueness, stability and numerical reconstruction of a time and space-dependent conductivity for an inverse hyperbolic problem
Paper in proceeding, 2018
This paper is devoted to the reconstruction of the time and space-dependent coefficient in an inverse hyperbolic problem in a bounded domain. Using a local Carleman estimate we prove the uniqueness and a Hölder stability in the determination of the conductivity by a single measurement on the lateral boundary. Our numerical examples show possibility of the determination of the location and the large contrast of the space-dependent function in three dimensions.
Inverse problem
Infinite domain
Hyperbolic equation
Time and space-dependent coefficient
Carleman estimate
Author
Larisa Beilina
Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
M. Cristofol
Aix Marseille University
Shumin Li
University of Science and Technology of China
Springer Proceedings in Mathematics and Statistics
21941009 (ISSN) 21941017 (eISSN)
Vol. 243 133-145
38th Progress in Electromagnetics Research Symposium, PIERS 2017
St. Petersburg, Russia,
St. Petersburg, Russia,
Subject Categories
Computational Mathematics
Control Engineering
Mathematical Analysis
DOI
10.1007/978-3-319-94060-1_10