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Nodal lengths of eigenfunctions in the disc


Authors: Xiaolong Han, Michael Murray and Chuong Tran
Journal: Proc. Amer. Math. Soc. 147 (2019), 1817-1824
MSC (2010): Primary 58J50, 35J05, 35P15
DOI: https://doi.org/10.1090/proc/14408
Published electronically: January 9, 2019
MathSciNet review: 3910446
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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.


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Additional Information

Xiaolong Han
Affiliation: Department of Mathematics, California State University, Northridge, California 91325
MR Author ID: 932160
Email: xiaolong.han@csun.edu

Michael Murray
Affiliation: Department of Mathematics, California State University, Northridge, California 91325
Email: michael.murray.921@my.csun.edu

Chuong Tran
Affiliation: Department of Mathematics, California State University, Northridge, California 91325
Email: chuong.tran.561@my.csun.edu

Keywords: Laplacian eigenfunctions, nodal sets, geodesics
Received by editor(s): April 3, 2018
Received by editor(s) in revised form: August 28, 2018
Published electronically: January 9, 2019
Communicated by: Micheal Hitrik
Article copyright: © Copyright 2019 American Mathematical Society