Geometry and interior nodal sets of Steklov eigenfunctions

被引：0
|
作者：
Jiuyi Zhu
机构：
[1] Louisiana State University,Department of Mathematics
来源：
Calculus of Variations and Partial Differential Equations | 2020年 / 59卷
关键词：
35P20; 35P15; 58C40; 28A78;
D O I：
暂无
中图分类号：
学科分类号：
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.
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