Courant-sharp Robin eigenvalues for the square: the case of negative Robin parameter

Autor:	Gittins, Katie, Helffer, Bernard
Rok vydání:	2020
Předmět:	Mathematics - Spectral Theory 35P99 58J50 58J37
Druh dokumentu:	Working Paper
Popis:	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 $h>0$ is large, small respectively. In this paper we investigate the case where $h<0\,$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2003.11304 Zobrazit plný text záznamu View this record from Arxiv