The multidimensional Gel'fand inverse problem for non-self-adjoint operators

被引：16

作者：

Kurylev, YV ^{[1
]}

Lassas, M

机构：

[1] Loughborough Univ Technol, Dept Math Sci, Loughborough LE11 3TU, Leics, England

[2] VA Steklov Math Inst, St Petersburg 191011, Russia

[3] Univ Helsinki, Rolf Nevanlinna Inst, FIN-00014 Helsinki, Finland

来源：

INVERSE PROBLEMS | 1997年 / 13卷 / 06期

关键词：

D O I：

10.1088/0266-5611/13/6/006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the Gel'fand inverse problem for the pair (M, A) where M is a compact manifold with boundary and A is a second-order elliptic operator on M. It is shown that (under some requirements of the geometric character) the boundary spectral data determine M uniquely and A to within the group of the generalized gauge transformations. Applications to the inverse boundary problem in a bounded domain in R-n, n greater than or equal to 1, are also considered.

引用

页码：1495 / 1501

页数：7

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