Further Time Regularity for Non-Local, Fully Non-Linear Parabolic\n Equations

2015/05/28 by Héctor A. Chang‐Lara, Chang-Lara, Hector A., Dennis Kriventsov +1
Computer Science · Mathematics · #35B45 #35B65 #35K55 #35R09 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1505.07889

openalex publication_date 2015/05/28 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

We establish H "older estimates for the time derivative of solutions of\nnon-local parabolic equations under mild assumptions for the boundary data. As\na consequence we are able to extend the Evans-Krylov estimate for rough kernels\nto parabolic equations.\n

Related

• Further time regularity for fully non-linear parabolic equations
• Regularity for fully nonlinear nonlocal parabolic equations with rough kernels
• Regularity for solutions of non local parabolic equations
• Non-local parabolic equations with singular (Morrey) time-inhomogeneous drift
• Interpolated time-Hölder regularity of solutions of fully nonlinear parabolic equations