Calder\'on's problem for some classes of conductivities in circularly symmetric domains
Analysis of PDEs
2019-03-19 v1
Abstract
In this note, we study Calder\'on's problem for certain classes of conductivities in domains with circular symmetry in two and three dimensions. Explicit formulas are obtained for the reconstruction of the conductivity from the Dirichlet-to-Neumann map. As a consequence, we show that the reconstruction is Lipschitz stable.
Keywords
Cite
@article{arxiv.1903.07286,
title = {Calder\'on's problem for some classes of conductivities in circularly symmetric domains},
author = {Mai Thi Kim Dung and Dang Anh Tuan},
journal= {arXiv preprint arXiv:1903.07286},
year = {2019}
}
Comments
14 pages, accepted for publication in AMV