Uniqueness, stability and numerical reconstruction of a time and space-dependent conductivity for an inverse hyperbolic problem
Paper in proceedings, 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

2194-1009 (ISSN) 2194-1017 (eISSN)

Vol. 243 133-145

38th Progress in Electromagnetics Research Symposium, PIERS 2017
St. Petersburg, Russia,

Subject Categories

Computational Mathematics

Control Engineering

Mathematical Analysis

DOI

10.1007/978-3-319-94060-1_10

More information

Latest update

1/7/2019 2