A natural lower bound for the size of nodal sets
Analysis of PDEs
2013-01-29 v3 Differential Geometry
Abstract
We prove a natural inequality which implies the known lower bounds for the -dimensional Hausdorff measure of nodal sets for smooth compact manifolds.
Cite
@article{arxiv.1107.3440,
title = {A natural lower bound for the size of nodal sets},
author = {Hamid Hezari and Christopher D. Sogge},
journal= {arXiv preprint arXiv:1107.3440},
year = {2013}
}
Comments
To appear in Analysis and Partial Differential Equations