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
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.
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页码:1495 / 1501
页数:7
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