dc.contributor.author | Berge, Stine Marie | |
dc.date.accessioned | 2020-01-29T11:57:39Z | |
dc.date.available | 2020-01-29T11:57:39Z | |
dc.date.created | 2019-12-03T14:59:07Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Journal of Geometric Analysis. 2019, 1-27. | nb_NO |
dc.identifier.issn | 1050-6926 | |
dc.identifier.uri | http://hdl.handle.net/11250/2638585 | |
dc.description.abstract | It is known that the L2L2-norms of a harmonic function over spheres satisfy some convexity inequality strongly linked to the Almgren’s frequency function. We examine the L2L2-norms of harmonic functions over a wide class of evolving hypersurfaces. More precisely, we consider compact level sets of smooth regular functions and obtain a differential inequality for the L2L2-norms of harmonic functions over these hypersurfaces. To illustrate our result, we consider ellipses with constant eccentricity and growing tori in R3.R3. Moreover, we give a new proof of the convexity result for harmonic functions on a Riemannian manifold when integrating over spheres. The inequality we obtain for the case of positively curved Riemannian manifolds with non-constant curvature is slightly better than the one previously known. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Springer Verlag | nb_NO |
dc.title | Convexity Properties of Harmonic Functions on Parameterized Families of Hypersurfaces | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.source.pagenumber | 1-27 | nb_NO |
dc.source.journal | Journal of Geometric Analysis | nb_NO |
dc.identifier.doi | 10.1007/s12220-019-00307-y | |
dc.identifier.cristin | 1756175 | |
dc.description.localcode | This is a post-peer-review, pre-copyedit version of an article. Locked until 1.11.2020 due to copyright restrictions. The final authenticated version is available online at:https://doi.org/10.1007/s12220-019-00307-y | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |