Uniqueness and stability of time and space-dependent conductivity in a hyperbolic cylindrical domain

Autor:	Beilina, L., Cristofol, M., Li, S.
Rok vydání:	2016
Předmět:	Mathematics - Analysis of PDEs Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
Popis:	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. Comment: arXiv admin note: text overlap with arXiv:1501.01384
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1607.01615 Zobrazit plný text záznamu View this record from Arxiv