Uniqueness, stability and numerical reconstruction of a time and space-dependent conductivity for an inverse hyperbolic problem
Paper i 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
Författare
Larisa Beilina
Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik
M. Cristofol
Aix-Marseille Université
Shumin Li
University of Science and Technology of China
Springer Proceedings in Mathematics and Statistics
2194-1009 (ISSN) 2194-1017 (eISSN)
Vol. 243 133-145
38th Progress in Electromagnetics Research Symposium, PIERS 2017
St. Petersburg, Russia,
St. Petersburg, Russia,
Ämneskategorier
Beräkningsmatematik
Reglerteknik
Matematisk analys
DOI
10.1007/978-3-319-94060-1_10