Lower bounds for nodal set of biharmonic Steklov problems
Differential Geometry
2017-06-14 v2
Abstract
We use layer potential to establish that the boundary biharmonic Steklov operators are elliptic pseudo-differential operators. Thus we are able to establish lower bounds on both the measure of boundary nodal sets and interior nodal sets for biharmonic Steklov eigenfunctions.
Keywords
Cite
@article{arxiv.1506.02070,
title = {Lower bounds for nodal set of biharmonic Steklov problems},
author = {Jui-En Chang},
journal= {arXiv preprint arXiv:1506.02070},
year = {2017}
}