论文标题

广场的Courant-Sharp Robin特征值:负robin参数的案例

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

论文作者

Gittins, Katie, Helffer, Bernard

论文摘要

我们考虑了Courant的Nodal域定理中平等的Laplacian平等的情况,正方形上的Robin边界条件。在前两篇论文中,我们处理了Robin参数$ H> 0 $的情况,分别很小,很小。在本文中,我们调查了$ h <0 \,$的情况。

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 $h<0\,$.

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