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dc.contributor.author
Da Silva, Joao Vitor
dc.contributor.author
Teixeira, Eduardo
dc.date.available
2018-09-14T20:49:44Z
dc.date.issued
2017-12
dc.identifier.citation
Da Silva, Joao Vitor; Teixeira, Eduardo; Sharp regularity estimates for second order fully nonlinear parabolic equations; Springer; Mathematische Annalen; 369; 3-4; 12-2017; 1623-1648
dc.identifier.issn
0025-5831
dc.identifier.uri
http://hdl.handle.net/11336/59801
dc.description.abstract
We prove sharp regularity estimates for viscosity solutions of fully nonlinear parabolic equations of the form (Formula Presented.)where F is elliptic with respect to the Hessian argument and f∈ Lp , q(Q1). The quantity Ξ(n,p,q):=np+2q determines to which regularity regime a solution of (Eq) belongs. We prove that when 1 < Ξ (n, p, q) < 2 - ϵF, solutions are parabolically α-Hölder continuous for a sharp, quantitative exponent 0 < α(n, p, q) < 1. Precisely at the critical borderline case, Ξ (n, p, q) = 1 , we obtain sharp parabolic Log-Lipschitz regularity estimates. When 0 < Ξ (n, p, q) < 1 , solutions are locally of class C1+σ,1+σ2 and in the limiting case Ξ (n, p, q) = 0 , we show parabolic C1 , Log-Lip regularity estimates provided F has “better” a priori estimates.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Fully Nonlinear Parabolic Equations
dc.subject
Optimal Borderline Estimates
dc.subject
Sharp Moduli of Continuity
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Sharp regularity estimates for second order fully nonlinear parabolic equations
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-09-14T13:15:36Z
dc.identifier.eissn
1432-1807
dc.journal.volume
369
dc.journal.number
3-4
dc.journal.pagination
1623-1648
dc.journal.pais
Alemania
dc.journal.ciudad
Berlin
dc.description.fil
Fil: Da Silva, Joao Vitor. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil
Fil: Teixeira, Eduardo. Universidade Federal Do Ceará; Brasil
dc.journal.title
Mathematische Annalen
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00208-016-1506-y
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00208-016-1506-y
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