Carleman Parabola and the Eigenvalues of Elliptic Operators

被引：0
|
作者：
Kostin, A. B. [1 ]
机构：
[1] Natl Res Nucl Univ MEPhI, Moscow 115409, Russia
来源：
DIFFERENTIAL EQUATIONS | 2018年 / 54卷 / 03期
关键词：
INVERSE PROBLEMS; EQUATIONS;
D O I：
10.1134/S0012266118030047
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the problem of location of the spectrum of an elliptic operator in a bounded domain with both the classical and more special boundary conditions. On the complex plane, we construct the set of all eigenvalues of the corresponding operator and consider several examples to illustrate the "asymptotic accuracy" of the obtained set and consider an example of nonunique solvability of a parabolic inverse problem with final observation.
引用
收藏
页码：318 / 329
页数：12
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