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  Polynomial upper bound on interior Steklov nodal sets

Georgiev, B., & Roy-Fortin, G. (2019). Polynomial upper bound on interior Steklov nodal sets. Journal of Spectral Theory, 9(3), 897-919. doi:10.4171/JST/266.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-F98C-6 Version Permalink: https://hdl.handle.net/21.11116/0000-000B-49BD-F
Genre: Journal Article

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Georgiev-Roy-Fortin_Polynomial upper bound on interior Steklov nodal sets_2019.pdf (Publisher version), 250KB
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Georgiev-Roy-Fortin_Polynomial upper bound on interior Steklov nodal sets_2019.pdf
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Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer Allianz- bzw. Nationallizenz frei zugänglich. / This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence respectively.
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https://doi.org/10.4171/JST/266 (Publisher version)
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 Creators:
Georgiev, Bogdan1, Author           
Roy-Fortin, Guillaume, Author
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Spectral Theory, Analysis of PDEs
 Abstract: We study solutions of uniformly elliptic PDE with Lipschitz leading coefficients and bounded lower order coefficients. We extend previous results of A. Logunov concerning nodal sets of harmonic functions and, in particular,prove polynomial upper bounds on interior nodal sets of Steklov eigenfunctions in terms of the corresponding eigenvalue $ \lambda $

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 23
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1704.04484
DOI: 10.4171/JST/266
 Degree: -

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Title: Journal of Spectral Theory
  Abbreviation : J. Spectr. Theory
Source Genre: Journal
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Publ. Info: European Mathematical Society (EMS)
Pages: - Volume / Issue: 9 (3) Sequence Number: - Start / End Page: 897 - 919 Identifier: -