Nodal lengths of eigenfunctions in the disc
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- by Xiaolong Han, Michael Murray and Chuong Tran
- Proc. Amer. Math. Soc. 147 (2019), 1817-1824
- DOI: https://doi.org/10.1090/proc/14408
- Published electronically: January 9, 2019
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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.References
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Bibliographic 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
- 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
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 1817-1824
- MSC (2010): Primary 58J50, 35J05, 35P15
- DOI: https://doi.org/10.1090/proc/14408
- MathSciNet review: 3910446