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

DOI number:10.1007/978-3-319-94060-1

Journal:Nonlinear and Inverse Problems in Electromagnetics - PIERS 2017, Springer Proceedings in Mathematics & Statistics 243

Key Words:Inverse problem; Carleman estimate; Time and space-dependent coefficient; Infinite domain; Hyperbolic equation

Abstract: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.

Co-author:L. Beilina,M. Cristofol,S. Li

Indexed by:Essay collection

Discipline:Natural Science

Volume:243

Page Number:133-145

ISSN No.:2194-1009

Translation or Not:no

Date of Publication:2018-07-20

Included Journals:EI

Links to published journals:https://link.springer.com/chapter/10.1007/978-3-319-94060-1_10