Geometry and interior nodal sets of Steklov eigenfunctions
Analysis of PDEs
2020-04-29 v4 Spectral Theory
Abstract
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.
Cite
@article{arxiv.1510.07300,
title = {Geometry and interior nodal sets of Steklov eigenfunctions},
author = {Jiuyi Zhu},
journal= {arXiv preprint arXiv:1510.07300},
year = {2020}
}
Comments
Rewrite sections 3