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arXiv · 1708.08112

Nodal lengths of eigenfunctions in the disc

Xiaolong Han·Michael Murray·Chuong Tran
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Abstract

In this paper, we derive the sharp lower and upper bounds of nodal lengths of Laplacian eigenfunctions in the disc. Furthermore, we observe a geometric property of the eigenfunctions whose nodal curves maximize the nodal length.

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Xiaolong Han, Michael Murray, Chuong Tran. 2017-08-27. Nodal lengths of eigenfunctions in the disc. https://arxiv.org/abs/1708.08112

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