The "hot spots" problem in planar domains with one hole
Analysis of PDEs
2007-05-23 v1 Probability
Abstract
There exists a planar domain with piecewise smooth boundary and one hole such that the second eigenfunction for the Laplacian with Neumann boundary conditions attains its maximum and minimum inside the domain.
Cite
@article{arxiv.math/0405472,
title = {The "hot spots" problem in planar domains with one hole},
author = {Krzysztof Burdzy},
journal= {arXiv preprint arXiv:math/0405472},
year = {2007}
}