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

Pierre Bérard; Bernard Helffer

Conference Proceedings

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

Bérard P
Helffer B

Springer Proceedings in Mathematics and Statistics (2015) 127 69-114

DOI: 10.1007/978-3-319-17443-3_6

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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.

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Courant theorem
Nodal domains
Nodal lines

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APA

Bérard, P., & Helffer, B. (2015). Dirichlet eigenfunctions of the square membrane: Courant’s property, and A. Stern’s and Å. Pleijel’s analyses. In Springer Proceedings in Mathematics and Statistics (Vol. 127, pp. 69–114). Springer New York LLC. https://doi.org/10.1007/978-3-319-17443-3_6

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

Abstract

Author supplied keywords

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