dc.creator | Gancedo García, Francisco | es |
dc.creator | García Juárez, Eduardo Miguel | es |
dc.date.accessioned | 2023-04-19T11:21:03Z | |
dc.date.available | 2023-04-19T11:21:03Z | |
dc.date.issued | 2022-11-01 | |
dc.identifier.citation | Gancedo García, F. y García Juárez, E.M. (2022). Quantitative Hölder estimates for even singular integral operators on patches. Journal of Functional Analysis, 283 (9), 109635-1. https://doi.org/10.1016/j.jfa.2022.109635. | |
dc.identifier.issn | 0022-1236 | es |
dc.identifier.issn | 1096-0783 | es |
dc.identifier.uri | https://hdl.handle.net/11441/144636 | |
dc.description.abstract | In this paper we show a constructive method to obtain
estimates of even singular integral operators on characteristic functions of domains with
regularity,
. This kind of functions were shown in first place to be bounded (classically only in the BMO space) to obtain global regularity for the vortex patch problem [5], [2]. This property has then been applied to solve different type of problems in harmonic analysis and PDEs. Going beyond in regularity, the functions are discontinuous on the boundary of the domains, but
in each side. This
regularity has been bounded by the
norm of the domain [8], [14], [16]. Here we provide a quantitative bound linear in terms of the
regularity of the domain. This estimate shows explicitly the dependence of the lower order norm and the non-self-intersecting property of the boundary of the domain. As an application, this quantitative estimate is used in a crucial manner to the free boundary incompressible Navier-Stokes equations providing new global-in-time regularity results in the case of viscosity contrast [12]. | es |
dc.format | application/pdf | es |
dc.format.extent | 42 p. | es |
dc.language.iso | eng | es |
dc.publisher | ScienceDirect | es |
dc.relation.ispartof | Journal of Functional Analysis, 283 (9), 109635-1. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Singular integral operators | es |
dc.subject | Even kernels | es |
dc.subject | Quantitative bound | es |
dc.subject | Navier-Stokes free boundary | es |
dc.title | Quantitative Hölder estimates for even singular integral operators on patches | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.publisherversion | https://doi.org/10.1016/j.jfa.2022.109635 | es |
dc.identifier.doi | 10.1016/j.jfa.2022.109635 | es |
dc.contributor.group | Universidad de Sevilla. FQM104: Analisis Matematico | es |
dc.journaltitle | Journal of Functional Analysis | es |
dc.publication.volumen | 283 | es |
dc.publication.issue | 9 | es |
dc.publication.initialPage | 109635-1 | es |