SPECTRAL PROPERTIES OF DEGENERATE ELLIPTIC OPERATORS WITH MATRIX COEFFICIENTS

被引：1
|
作者：
Gadoev, M. G. [1 ]
Iskhokov, S. A. [1 ]
机构：
[1] Branch Yakut State Univ, Mirny Polytech Inst, Tikhonova Str 5-1, Mirny 678170, Yakutia, Russia
来源：
UFA MATHEMATICAL JOURNAL | 2013年 / 5卷 / 04期
关键词：
elliptic differential operators; resolvent of operator; distribution of eigenvalues; system of root vector-functions;
D O I：
10.13108/2013-5-4-37
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the work we study some spectral properties of the non-self-adjoint operator A in the space H-l = L-2(0, 1)(l) associated with a noncoercive sesquilinear form. We address the issues on completeness of a system of root vector-functions for operator A in H-l, description of the domain of operator A, estimating resolvent of operator A and asymptotic distribution of eigenvalues of operator A.
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页码：37 / 48
页数：12
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