Generalized Q-functions and Dirichlet-to-Neumann maps for elliptic differential operators

被引：26

作者：

Alpay, Daniel ^{[2
]}

Behrndt, Jussi ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

[2] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2009年 / 257卷 / 06期

关键词：

Q-function; Weyl function; Nevanlinna function; Elliptic operator; Dirichlet-to-Neumann map; Krein's formula; Trace formula; BOUNDARY-VALUE-PROBLEMS; SELF-ADJOINT EXTENSIONS; SCHRODINGER-OPERATORS; COLLIGATIONS; RESOLVENTS; FORMULA; MODEL; JOST;

D O I：

10.1016/j.jfa.2009.06.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The classical concept of Q-functions associated to symmetric and selfadjoint operators due to M.G. Krein and H. Langer is extended in such a way that the Dirichlet-to-Neumann map in the theory of elliptic differential equations can be interpreted as a generalized Q-function. For couplings of uniformly elliptic second order differential expression on bounded and unbounded domains explicit Krein type formulas for the difference of the resolvents and trace formulas in an H-2-framework are obtained. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1666 / 1694

页数：29

共 53 条

[11] Boundary value problems for elliptic partial differential operators on bounded domains [J].