Local uniqueness for the Dirichlet-to-Neumann map via the two-plane transform

被引：28

作者：

Greenleaf, A ^{[1
]}

Uhlmann, G

机构：

[1] Univ Rochester, Dept Math, Rochester, NY 14627 USA

[2] Univ Washington, Dept Math, Seattle, WA 98195 USA

来源：

DUKE MATHEMATICAL JOURNAL | 2001年 / 108卷 / 03期

关键词：

D O I：

10.1215/S0012-7094-01-10837-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Cauchy data associated to the Schrodinger equation with a potential on a bounded domain Omega subset of R-n, n greater than or equal to 3. We show that the integral of the potential over a two-plane Pi is determined by the Cauchy data of certain exponentially growing solutions on any open subset U subset of partial derivative Omega which contains Pi boolean AND partial derivative Omega.

引用

页码：599 / 617

页数：19

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