Lower bounds for Dirichlet Laplacians and uncertainty principles

被引：5

作者：

Stollmann, Peter ^{[1
]}

Stolz, Guenter ^{[2
]}

机构：

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

[2] Univ Alabama Birmingham, Dept Math, 1402 10th Ave South, Birmingham, AL 35294 USA

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2021年 / 23卷 / 07期

关键词：

Uncertainty principle; Dirichlet Laplacians; unique continuation; LOCALIZATION; INEQUALITIES; CONTINUATION; CONVERGENCE; SCATTERING; MODEL;

D O I：

10.4171/JEMS/1055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove lower bounds for the Dirichlet Laplacian on possibly unbounded domains in terms of natural geometric conditions. This is used to derive uncertainty principles for low energy functions of general elliptic second order divergence form operators with not necessarily continuous main part.

引用

页码：2337 / 2360

页数：24

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