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
收藏
页码：189 / 211
页数：23
相关论文
共 43 条
[11]  
[Anonymous], 1980, N HOLLAND MATH LIB
[12]  
[Anonymous], SPECTRAL THEORY DIFF
[13]  
[Anonymous], ASTERISQUE
[14]  
Berezanskii Y., 1968, Translations of Mathematical Monographs, V17
[15]  
Berezin F. A, 1991, MATH ITS APPL SOVIET, V66
[16]   ESPACES DE DIRICHLET .1. LE CAS ELEMENTAIRE [J].
BEURLING, A ;
DENY, J .
ACTA MATHEMATICA, 1958, 99 (3-4) :203-224
[17]   A Saint-Venant type principle for dirichlet forms on discontinuous media. [J].
Biroli, M ;
Mosco, U .
ANNALI DI MATEMATICA PURA ED APPLICATA, 1995, 169 :125-181
[18]  
BOULEAU N, 1991, GRUYTER STUDIES MATH, V14
[19]  
de Monvel AB, 2003, J REINE ANGEW MATH, V561, P131
[20]  
Exner P, 1997, ANN I H POINCARE-PHY, V66, P359
12345