dc.contributor.author | Hur, Vera Mikyoung | |
dc.contributor.author | Johnson, Mathew A. | |
dc.contributor.author | Martin, Jeremy L. | |
dc.date.accessioned | 2018-11-09T18:41:25Z | |
dc.date.available | 2018-11-09T18:41:25Z | |
dc.date.issued | 2017-09 | |
dc.identifier.citation | Hur, V. M., Johnson, M. A., Martin, J. L., (2017) Oscillation estimates of eigenfunctions via the combinatorics of noncrossing partitions, Discrete Analysis 2017:13, 20 pp, 10.19086/da.2102, arXiv:1609.02189 [math.SP] | en_US |
dc.identifier.uri | http://hdl.handle.net/1808/27290 | |
dc.description.abstract | We study oscillations in the eigenfunctions for a fractional Schrödinger operator on the real line. An argument in the spirit of Courant's nodal domain theorem applies to an associated local problem in the upper half plane and provides a bound on the number of nodal domains for the extensions of the eigenfunctions. Using the combinatorial properties of noncrossing partitions, we turn the nodal domain bound into an estimate for the number of sign changes in the eigenfunctions. We discuss applications in the periodic setting and the Steklov problem on planar domains. | en_US |
dc.publisher | Diamond Open Access Journals | en_US |
dc.rights | ©2017 Vera Mikyoung Hur, Mathew A. Johnson, and Jeremy L. Martin. Licensed under a Creative Commons Attribution License (CC-BY) | en_US |
dc.rights.uri | https://creativecommons.org/licenses/by/3.0/ | en_US |
dc.title | Oscillation estimates of eigenfunctions via the combinatorics of noncrossing partitions | en_US |
dc.type | Article | en_US |
kusw.kuauthor | Martin, Jeremy L. | |
kusw.kudepartment | Mathematics | en_US |
dc.identifier.doi | 10.19086/da.2012 | en_US |
kusw.oaversion | Scholarly/refereed, publisher version | en_US |
kusw.oapolicy | This item meets KU Open Access policy criteria. | en_US |
dc.rights.accessrights | openAccess | en_US |