Sch'nol's theorem for strongly local forms

被引：21

作者：

de Monvel, Anne Boutet ^{[1
]}

Lenz, Daniel ^{[2
]}

Stollmann, Peter ^{[2
]}

机构：

[1] Univ Paris 07, IMJ, F-75205 Paris, France

[2] Tech Univ Chemnitz, Fak Math, D-09107 Chemnitz, Germany

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2009年 / 173卷 / 01期

关键词：

DIRICHLET FORMS; SCHRODINGER-OPERATORS; EIGENFUNCTION-EXPANSIONS; KIRCHHOFFS RULE; QUANTUM GRAPHS; METRIC GRAPHS; PERTURBATION; EQUATIONS; SPECTRUM; BOUNDS;

D O I：

10.1007/s11856-009-0088-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a variant of Sch'nol's theorem in a general setting: for generators of strongly local Dirichlet forms perturbed by measures. As an application, we discuss quantum graphs with delta- or Kirchhoff boundary conditions.

引用

页码：189 / 211

页数：23

共 43 条

[1]

AGMON S, 1985, LECT NOTES MATH, V1159, P1

[2] LOWER BOUNDS FOR SOLUTIONS OF SCHRODINGER EQUATIONS [J].