dc.creator | Ros Oton, Xavier | |
dc.creator | Vivas, Hernán Agustín | |
dc.date.accessioned | 2020-03-25T18:48:53Z | |
dc.date.accessioned | 2022-10-14T21:48:57Z | |
dc.date.available | 2020-03-25T18:48:53Z | |
dc.date.available | 2022-10-14T21:48:57Z | |
dc.date.created | 2020-03-25T18:48:53Z | |
dc.date.issued | 2018-10 | |
dc.identifier | Ros Oton, Xavier; Vivas, Hernán Agustín; Higher-order boundary regularity estimates for nonlocal parabolic equations; Springer; Calculus Of Variations And Partial Differential Equations; 57; 5; 10-2018; 1-20 | |
dc.identifier | 0944-2669 | |
dc.identifier | http://hdl.handle.net/11336/100756 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4310484 | |
dc.description.abstract | We establish sharp higher-order Hölder regularity estimates up to the boundary for solutions to equations of the form ∂tu- Lu= f(t, x) in I× Ω where I⊂ R, Ω ⊂ Rn and f is Hölder continuous. The nonlocal operators L that we consider are those arising in stochastic processes with jumps, such as the fractional Laplacian (- Δ) s, s∈ (0 , 1). Our main result establishes that, if f is Cγ is space and Cγ / 2 s in time, and Ω is a C2 , γ domain, then u/ ds is Cs + γ up to the boundary in space and u is C1 + γ / 2 s up the boundary in time, where d is the distance to ∂Ω. This is the first higher order boundary regularity estimate for nonlocal parabolic equations, and is new even for the fractional Laplacian in C∞ domains. | |
dc.language | eng | |
dc.publisher | Springer | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00526-018-1399-6 | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00526-018-1399-6 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/restrictedAccess | |
dc.subject | Boundary regularity | |
dc.subject | Nonlocal parabolic equations | |
dc.title | Higher-order boundary regularity estimates for nonlocal parabolic equations | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |