Uniqueness and stability of time and space-dependent conductivity in a hyperbolic cylindrical domain
Analysis of PDEs
2016-07-07 v1 Numerical Analysis
Abstract
This paper is devoted to the reconstruction of the time and space-dependent coefficient in an infinite cylindrical hyperbolic domain. Using a local Carleman estimate we prove the uniqueness and a H\"older stability in the determining of the conductivity by a single measurement on the lateral boundary. Our numerical examples show good reconstruction of the location and contrast of the conductivity function in three dimensions.
Keywords
Cite
@article{arxiv.1607.01615,
title = {Uniqueness and stability of time and space-dependent conductivity in a hyperbolic cylindrical domain},
author = {L. Beilina and M. Cristofol and S. Li},
journal= {arXiv preprint arXiv:1607.01615},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1501.01384