Cordes-Nirenberg type estimates for nonlocal parabolic equations

2012/12/21 by Yong‐Cheol Kim, Yong-Cheol Kim, Kim, Yong-Cheol +2 · 1 citation
Computer Science · Mathematics · #35B65 #35D10 (Primary) 60J75 (Secondary) #35J60 #45K05 #47G20 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP #math.CA #msc:35B65 #msc:35D10 #msc:35J60 #msc:45K05 #msc:47G20 #msc:60J75

paper · pdf · doi:10.48550/arxiv.1212.5591

Recently our result was revised on more general solution space than the previous version

openalex publication_date 2012/12/21 · arxiv created 2015/08/15 · arxiv updated 2015/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we obtain Cordes-Nirenberg type estimates for nonlocal parabolic equations on the more flexible solution space L^\iy_T(L¹_\om) than the classical solution space \rB(\BRⁿ_T) consisting of all bounded functions on \BRⁿ_T.

Citations

• The Evans-Krylov theorem for nonlocal fully nonlinear equations
• Regularity results for fully nonlinear parabolic integro-differential operators

Cited by

• The Evans-Krylov theorem for nonlocal parabolic fully nonlinear equations

Related

• Regularity results for nonlocal equations by approximation
• Dirichlet heat kernel estimates for parabolic nonlocal equations
• Nonlocal parabolic De Giorgi classes
• Nonlocal operators related to nonsymmetric forms I: Hölder estimates
• Harnack's Inequality for Parabolic Nonlocal Equations