The Volume of a Local Nodal Domain
Spectral Theory
2010-11-02 v5 Analysis of PDEs
Abstract
Let M either be a closed real analytic Riemannian manifold or a closed smooth Riemannian surface. We estimate from below the volume of a nodal domain component in an arbitrary ball provided that this component enters the ball deeply enough.
Cite
@article{arxiv.0806.3327,
title = {The Volume of a Local Nodal Domain},
author = {Dan Mangoubi},
journal= {arXiv preprint arXiv:0806.3327},
year = {2010}
}
Comments
21 pages; introduction improved putting the problem in a larger context.