Unbounded planar domains whose second nodal line does not touch the boundary
Spectral Theory
2007-05-23 v1 Analysis of PDEs
Abstract
We show the existence of simply-connected unbounded planar domains for which the second nodal line of the Dirichlet Laplacian does not touch the boundary.
Keywords
Cite
@article{arxiv.math/0511516,
title = {Unbounded planar domains whose second nodal line does not touch the boundary},
author = {P. Freitas and D. Krejcirik},
journal= {arXiv preprint arXiv:math/0511516},
year = {2007}
}
Comments
LaTeX with 2 eps figures, 5 pages; to appear in Mathematical Research Letters