dc.contributor.author | Lemenant, A. | en |
dc.contributor.author | Milakis, E. | en |
dc.contributor.author | Spinolo, L. V. | en |
dc.creator | Lemenant, A. | en |
dc.creator | Milakis, E. | en |
dc.creator | Spinolo, L. V. | en |
dc.date.accessioned | 2019-12-02T10:36:42Z | |
dc.date.available | 2019-12-02T10:36:42Z | |
dc.date.issued | 2014 | |
dc.identifier.issn | 1239-629X | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57221 | |
dc.description.abstract | We provide a detailed proof of the fact that any open set whose boundary is sufficiently flat in the sense of Reifenberg is also Jones-flat, and hence it admits an extension operator. We discuss various applications of this property, in particular we obtain L∞ estimates for the eigenfunctions of the Laplace operator with Neumann boundary conditions. We also compare different ways of measuring the "distance" between two Reifenberg-flat domains. These results are pivotal to the quantitative stability analysis of the spectrum of the Neumann Laplacian performed in [27]. | en |
dc.source | Annales Academiae Scientiarum Fennicae Mathematica | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84893869146&doi=10.5186%2faasfm.2014.3907&partnerID=40&md5=8a80ef15f965249b6e56189ec4a05323 | |
dc.subject | Reifenberg-flat sets | en |
dc.subject | Extension operators | en |
dc.title | On the extension property of reifenberg-flat domains | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.5186/aasfm.2014.3907 | |
dc.description.volume | 39 | |
dc.description.issue | 1 | |
dc.description.startingpage | 51 | |
dc.description.endingpage | 71 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Cited By :9</p> | en |
dc.source.abbreviation | Ann.Acad.Sci.Fenn.Math. | en |
dc.contributor.orcid | Milakis, E. [0000-0001-8538-1129] | |
dc.gnosis.orcid | 0000-0001-8538-1129 | |