Spectral Estimates for Resolvent Differences of Self-Adjoint Elliptic Operators

被引：18

作者：

Behrndt, Jussi ^{[1
]}

Langer, Matthias ^{[2
]}

Lotoreichik, Vladimir ^{[1
]}

机构：

[1] Graz Univ Technol, Inst Numer Math, A-8010 Graz, Austria

[2] Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Lanark, Scotland

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2013年 / 77卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

Elliptic operator; self-adjoint extension; operator ideal; delta-potential; quasi boundary triple; Weyl function; BOUNDARY-VALUE-PROBLEMS; STRONG DELTA-INTERACTION; GENERALIZED RESOLVENTS; SCHRODINGER-OPERATORS; EXTENSIONS; ASYMPTOTICS; FORMULAS;

D O I：

10.1007/s00020-013-2072-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concept of quasi boundary triples and Weyl functions from extension theory of symmetric operators in Hilbert spaces is developed further and spectral estimates for resolvent differences of two self-adjoint extensions in terms of general operator ideals are proved. The abstract results are applied to self-adjoint realizations of second order elliptic differential operators on bounded and exterior domains, and partial differential operators with delta-potentials supported on hypersurfaces are studied.

引用

页码：1 / 37

页数：37

共 64 条

[1]

Abels H., 2013, ARXIV10083281

[2]

Adams R., 2003, SOBOLEV SPACES

[3]

Agranovich M.S., 1990, ENCYCL MATH SCI, V63, P1

[4] M operators:: a generalisation of Weyl-Titchmarsh theory [J].