The multidimensional Gel'fand inverse problem for non-self-adjoint operators
The multidimensional Gel'fand inverse problem for non-self-adjoint operators
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非自伴算子的多维 Gelfand 反问题
DOI：
10.1088/0266-5611/13/6/006
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发表时间：
1997
期刊：
影响因子：
2.1
通讯作者：
M. Lassas
中科院分区：
文献类型：
--
作者：
Y. Kurylev;M. Lassas
本文研究了（M，A）的Gel'fand反问题，其中M是一个带边界的紧致流形，A是M上的一个二阶椭圆算子。证明了（在一定的几何性质要求下）边界谱数据唯一地确定M和A在广义规范变换群内。在有界域中的反边界问题的应用，也被认为是。
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 , are also considered.