The Volume of a Local Nodal Domain
arXiv:0806.3327 · doi:10.1142/S1793525310000306
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.
21 pages; introduction improved putting the problem in a larger context.