Courant-sharp Robin eigenvalues for the square: the case of negative Robin parameter
Spectral Theory
2020-03-31 v2
Abstract
We consider the cases where there is equality in Courant's nodal domain theorem for the Laplacian with a Robin boundary condition on the square. In our previous two papers, we treated the cases where the Robin parameter is large, small respectively. In this paper we investigate the case where .
Cite
@article{arxiv.2003.11304,
title = {Courant-sharp Robin eigenvalues for the square: the case of negative Robin parameter},
author = {Katie Gittins and Bernard Helffer},
journal= {arXiv preprint arXiv:2003.11304},
year = {2020}
}