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DC Field | Value | Language |
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dc.contributor.author | Borthagaray, Juan Pablo | - |
dc.contributor.author | Li, Wenbo | - |
dc.contributor.author | Nochetto, Ricardo H. | - |
dc.date.accessioned | 2024-12-12T14:51:35Z | - |
dc.date.available | 2024-12-12T14:51:35Z | - |
dc.date.issued | 2024 | - |
dc.identifier.citation | Borthagaray, 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.uri | https://hdl.handle.net/20.500.12008/47504 | - |
dc.description.abstract | We 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.sponsorship | Proyecto ANII - FCE_3_2022_1_172393 (Fondo Clemente Estable, modalidad II). | es |
dc.format.extent | 33 p. | es |
dc.format.mimetype | application/pdf | es |
dc.language.iso | en | es |
dc.relation.ispartof | SIAM Journal on Mathematical Analysis, vol. 56 , no. 3, 2024, pp. 4006-4039. | es |
dc.rights | Las 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.subject | Fractional quasi-linear operators | es |
dc.subject | Besov regularity | es |
dc.subject | Lipschitz domains | es |
dc.subject | Finite element approximation | es |
dc.title | Quasi-linear fractional-order operators in Lipschitz domains. | es |
dc.type | Preprint | es |
dc.contributor.filiacion | Borthagaray Juan Pablo, Universidad de la República (Uruguay). Facultad de Ingeniería. | - |
dc.contributor.filiacion | Li Wenbo, Institute of Computational Mathematics and Scientific/Engineering Computing of the Chinese Academy of Sciences, Beijing 100190 China. | - |
dc.contributor.filiacion | Nochetto Ricardo H., Department of Mathematics and Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742 USA. | - |
dc.rights.licence | Licencia 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 |
This item is licensed under a Creative Commons License