On nonuniqueness for Calderon's inverse problem
偏微分方程分析
2007-05-23 v2 谱理论
摘要
We construct anisotropic conductivities with the same Dirichlet-to-Neumann map as a homogeneous isotropic conductivity. These conductivities are singular close to a surface inside the body.
引用
@article{arxiv.math/0302258,
title = {On nonuniqueness for Calderon's inverse problem},
author = {Allan Greenleaf and Matti Lassas and Gunther Uhlmann},
journal= {arXiv preprint arXiv:math/0302258},
year = {2007}
}
备注
Alternative proof of Prop. 1 and minor changes. To appear in Math. Res. Letters