Essential Self-adjointness for Combinatorial Schrodinger Operators II-Metrically non Complete Graphs

被引：40

作者：

de Verdiere, Yves Colin ^{[1
]}

Torki-Hamza, Nabila ^{[2
]}

Truc, Francoise ^{[1
]}

机构：

[1] Grenoble Univ, Inst Fourier, Unite Mixte Rech CNRS UJF 5582, F-38402 St Martin Dheres, France

[2] Univ 7 Novembre Carthage, Fac Sci Bizerte, Bizerte 7021, Tunisia

来源：

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2011年 / 14卷 / 01期

关键词：

Metrically non complete graph; Weighted graph Laplacian; Schrodinger operator; Essential selfadjointness; LAPLACIAN; MANIFOLDS;

D O I：

10.1007/s11040-010-9086-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider weighted graphs, we equip them with a metric structure given by a weighted distance, and we discuss essential self-adjointness for weighted graph Laplacians and Schrodinger operators in the metrically non complete case.

引用

页码：21 / 38

页数：18

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