期刊
FORUM OF MATHEMATICS SIGMA
卷 7, 期 -, 页码 -出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/fms.2019.31
关键词
-
We prove that an L-infinity potential in the Schrodinger equation in three and higher dimensions can be uniquely determined from a finite number of boundary measurements, provided it belongs to a known finite dimensional subspace W. As a corollary, we obtain a similar result for Calderon's inverse conductivity problem. Lipschitz stability estimates and a globally convergent nonlinear reconstruction algorithm for both inverse problems are also presented. These are the first results on global uniqueness, stability and reconstruction for nonlinear inverse boundary value problems with finitely many measurements. We also discuss a few relevant examples of finite dimensional subspaces W, including bandlimited and piecewise constant potentials, and explicitly compute the number of required measurements as a function of dim W.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据