INVERSE BOUNDARY VALUE PROBLEMS FOR THE PERTURBED POLYHARMONIC OPERATOR

被引：0

作者：

Krupchyk, Katsiaryna ^{[1
]}

Lassas, Matti ^{[1
]}

Uhlmann, Gunther ^{[2
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, FI-00014 Helsinki, Finland

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

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 366卷 / 01期

基金：

芬兰科学院; 美国国家科学基金会;

关键词：

GLOBAL UNIQUENESS; CALDERON PROBLEM; SCHRODINGER-EQUATION; SCATTERING PROBLEM; CONDUCTIVITY; INVISIBILITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a first order perturbation A(x) . D + q(x) of the polyharmonic operator (-Delta)(m), m >= 2, can be determined uniquely from the set of the Cauchy data for the perturbed polyharmonic operator on a bounded domain in R-n, n >= 3. Notice that the corresponding result does not hold in general when m = 1.

引用

页码：95 / 112

页数：18

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