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On the nodal line of the second eigenfunction of the Laplacian over some concave domains in $\mathbb{R}^2$ - MaRDI portal

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On the nodal line of the second eigenfunction of the Laplacian over some concave domains in $\mathbb{R}^2$

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Publication:6503099

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arXiv1004.5494MaRDI QIDQ6503099

Author name not available (Why is that?)

Abstract: In this paper we will prove the nodal line

N

of the second eigenfunction of the Laplacian over some simply connected concave domain

O m e g a

m a t h b b R^{2}

must intersect the boundary

p a r t i a l O m e g a

at exactly two points.

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