dc.contributor.author | del Teso, Félix | |
dc.contributor.author | Endal, Jørgen | |
dc.contributor.author | Jakobsen, Espen Robstad | |
dc.contributor.author | Vázquez, Juan Luis | |
dc.date.accessioned | 2023-11-28T09:40:48Z | |
dc.date.available | 2023-11-28T09:40:48Z | |
dc.date.created | 2023-05-12T12:46:42Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Calculus of Variations and Partial Differential Equations. 2023, 62 (4), 1-30. | en_US |
dc.identifier.issn | 0944-2669 | |
dc.identifier.uri | https://hdl.handle.net/11250/3104950 | |
dc.description.abstract | We consider the evolution problem associated to the infinity fractional Laplacian introduced by Bjorland et al. (Adv Math 230(4–6):1859–1894, 2012) as the infinitesimal generator of a non-Brownian tug-of-war game. We first construct a class of viscosity solutions of the initial-value problem for bounded and uniformly continuous data. An important result is the equivalence of the nonlinear operator in higher dimensions with the one-dimensional fractional Laplacian when it is applied to radially symmetric and monotone functions. Thanks to this and a comparison theorem between classical and viscosity solutions, we are able to establish a global Harnack inequality that, in particular, explains the long-time behavior of the solutions. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer Nature Ltd. | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Evolution driven by the infinity fractional Laplacian | en_US |
dc.title.alternative | Evolution driven by the infinity fractional Laplacian | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.source.pagenumber | 1-30 | en_US |
dc.source.volume | 62 | en_US |
dc.source.journal | Calculus of Variations and Partial Differential Equations | en_US |
dc.source.issue | 4 | en_US |
dc.identifier.doi | 10.1007/s00526-023-02475-w | |
dc.identifier.cristin | 2147140 | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |