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.

引用

页码：37 / 48

页数：12

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