Lower Bounds for Nodal Sets of Eigenfunctions

被引：50

作者：

Colding, Tobias H. ^{[1
]}

Minicozzi, William P., II ^{[2
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

[2] Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2011年 / 306卷 / 03期

基金：

美国国家科学基金会;

关键词：

RIEMANNIAN-MANIFOLDS; LP;

D O I：

10.1007/s00220-011-1225-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove lower bounds for the Hausdorff measure of nodal sets of eigenfunctions.

引用

页码：777 / 784

页数：8

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