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dc.contributor.authorBorthagaray, Juan Pablo-
dc.contributor.authorLi, Wenbo-
dc.contributor.authorNochetto, Ricardo H.-
dc.date.accessioned2024-12-12T14:51:35Z-
dc.date.available2024-12-12T14:51:35Z-
dc.date.issued2024-
dc.identifier.citationBorthagaray, J., Li, W. y Nochetto, R. Quasi-linear fractional-order operators in Lipschitz domains [Preprint]. Publicado en: SIAM Journal on Mathematical Analysis, 2024, vol. 56 , no. 3, pp. 4006-4039. DOI: 10.1137/23M1575871.es
dc.identifier.urihttps://hdl.handle.net/20.500.12008/47504-
dc.description.abstractWe prove Besov boundary regularity for solutions of the homogeneous Dirichlet problem for fractional-order quasi-linear operators with variable coefficients on Lipschitz domains Ω of Rd. Our estimates are consistent with the boundary behavior of solutions on smooth domains and apply to fractional p-Laplacians and operators with finite horizon. The proof exploits the underlying variational structure and uses a new and flexible local translation operator. We further apply these regularity estimates to derive novel error estimates for finite element approximations of fractional p-Laplacians and present several simulations that reveal the boundary behavior of solutions.es
dc.description.sponsorshipProyecto ANII - FCE_3_2022_1_172393 (Fondo Clemente Estable, modalidad II).es
dc.format.extent33 p.es
dc.format.mimetypeapplication/pdfes
dc.language.isoenes
dc.relation.ispartofSIAM Journal on Mathematical Analysis, vol. 56 , no. 3, 2024, pp. 4006-4039.es
dc.rightsLas obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)es
dc.subjectFractional quasi-linear operatorses
dc.subjectBesov regularityes
dc.subjectLipschitz domainses
dc.subjectFinite element approximationes
dc.titleQuasi-linear fractional-order operators in Lipschitz domains.es
dc.typePreprintes
dc.contributor.filiacionBorthagaray Juan Pablo, Universidad de la República (Uruguay). Facultad de Ingeniería.-
dc.contributor.filiacionLi Wenbo, Institute of Computational Mathematics and Scientific/Engineering Computing of the Chinese Academy of Sciences, Beijing 100190 China.-
dc.contributor.filiacionNochetto Ricardo H., Department of Mathematics and Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742 USA.-
dc.rights.licenceLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)es
Appears in Collections:Publicaciones académicas y científicas - IMERL (Instituto de Matemática y Estadística Rafael Laguardia)
Publicaciones académicas y científicas - Facultad de Ingeniería

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