Spectral Estimates for Resolvent Differences of Self-Adjoint Elliptic Operators

被引：0
作者：
Jussi Behrndt
Matthias Langer
Vladimir Lotoreichik
机构：
[1] Institut für Numerische Mathematik,Technische Universität Graz
[2] University of Strathclyde,Department of Mathematics and Statistics
来源：
Integral Equations and Operator Theory | 2013年 / 77卷
关键词：
35P05; 35P20; 47F05; 47L20; 81Q10; 81Q15; Elliptic operator; self-adjoint extension; operator ideal; δ-potential; quasi boundary triple; Weyl function;
D O I：
暂无
中图分类号：
学科分类号：
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 δ-potentials supported on hypersurfaces are studied.
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页码：1 / 37
页数：36
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