On Calderón's problem for a system of elliptic equations
type: Item
instance of: scholarly article
title: On Calderón's problem for a system of elliptic equations
zbMATH Open document ID: 1371.35083
DOI: 10.4171/PRIMS/53-1-5
author: M. Yamamoto
author: O. Yu. Imanuvilov
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 2017-04-05T00:00:00Z
full work available at URL: https://arxiv.org/abs/1503.06494
review text: Summary: We consider Calderón's problem in the case of a partial Dirichlet-to-Neumann map for systems of elliptic equations in a bounded two-dimensional domain. The main result of the paper is as follows: If two systems of elliptic equations generate the same partial Dirichlet-to-Neumann map on some subboundary, then the coefficients can be uniquely determined up to gauge equivalence.
Mathematics Subject Classification ID: 35J57
Mathematics Subject Classification ID: 35R30
zbMATH DE Number: 6701681
zbMATH Keywords: Dirichlet-to-Neumann map
zbMATH Keywords: uniqueness
zbMATH Keywords: gauge equivalence
zbMATH Keywords: system of elliptic equations
zbMATH Keywords: two dimensions
MaRDI profile type: Publication
arXiv ID: 1503.06494
OpenAlex ID: W2589470700
description: scientific article