Geometry and interior nodal sets of Steklov eigenfunctions

被引：5

作者：

Zhu, Jiuyi ^{[1
]}

机构：

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2020年 / 59卷 / 05期

关键词：

35P20; 35P15; 58C40; 28A78; LOWER BOUNDS; HAUSDORFF MEASURE;

D O I：

10.1007/s00526-020-01815-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the geometric properties of Steklov eigenfunctions in smooth manifolds. We derive the refined doubling estimates and Bernstein's inequalities. For the real analytic manifolds, we are able to obtain the sharp upper bound for the measure of interior nodal sets.

引用

页数：23

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[1] Geometry and interior nodal sets of Steklov eigenfunctions
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[J]. Calculus of Variations and Partial Differential Equations, 2020, 59
[2] INTERIOR NODAL SETS OF STEKLOV EIGENFUNCTIONS ON SURFACES
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