Remark on Calder\'on's problem for the system of elliptic equations
Mathematical Physics
2015-03-29 v1 math.MP
Abstract
We consider the Calder\'on problem in the case of partial Dirichlet-to-Neumann map for the system of elliptic equations in a bounded two dimensional domain. The main result of the manuscript is as follows: If two systems of elliptic operators generate the same partial Dirichlet-to-Neumann map the coefficients can be uniquely determined up to the gauge equivalence.
Keywords
Cite
@article{arxiv.1503.06494,
title = {Remark on Calder\'on's problem for the system of elliptic equations},
author = {Oleg Imanuvilov and M. Yamamoto},
journal= {arXiv preprint arXiv:1503.06494},
year = {2015}
}
Comments
27 pages. arXiv admin note: text overlap with arXiv:1404.0741