Dirichlet eigenfunctions of the square membrane: Courant's property, and A. Stern's and Å. Pleijel's analyses

Abstract

In this paper, we revisit Courant's nodal domain theorem for the Dirichlet eigenfunctions of a square membrane, and the analyses of A. Stern and Å. Pleijel.

To appear in Springer Proceedings in Mathematics \& Statistics (2015), MIMS-GGTM conference in memory of M. S. Baouendi. Ali Baklouti, Aziz El Kacimi, Sadok Kallel, and Nordine Mir Editors

References in corpus (1)

• A. Stern's analysis of the nodal sets of some families of spherical harmonics revisited

Cited by in corpus (2)

• Courant-sharp eigenvalues of Neumann 2-rep-tiles
• The Number of Nodal Components of Arithmetic Random Waves