On nodal lines of Neumann eigenfunctions
偏微分方程分析
2007-05-23 v1 概率论
摘要
We present a new method for locating the nodal line of the second eigenfunction for the Neumann problem in a planar domain. The technique is based on the `mirror coupling' of reflected Brownian motions.
引用
@article{arxiv.math/0203017,
title = {On nodal lines of Neumann eigenfunctions},
author = {Krzysztof Burdzy},
journal= {arXiv preprint arXiv:math/0203017},
year = {2007}
}