Schauder estimates for nonlocal fully nonlinear equations

DOI10.1016/j.anihpc.2015.05.004zbMath1349.35386arXiv1405.0758OpenAlexW617189672MaRDI QIDQ327763

Tianling Jin, Jingang Xiong

Publication date: 19 October 2016

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0758

zbMATH Keywords

integro-differential equationsSchauder estimatesrecursive Evans-Krylov theorem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Integro-partial differential equations (35R09)

Related Items

Perron's method for nonlocal fully nonlinear equations ⋮ Dini and Schauder estimates for nonlocal fully nonlinear parabolic equations with drifts ⋮ Global well-posedness of a non-local Burgers equation: the periodic case ⋮ Schauder estimates for an integro-differential equation with applications to a nonlocal Burgers equation ⋮ Interior and up to the boundary regularity for the fractional \(g\)-Laplacian: The convex case ⋮ Uniqueness of viscosity solutions for a class of integro-differential equations ⋮ Remarks on Schauder estimates and existence of classical solutions for a class of uniformly parabolic Hamilton-Jacobi-Bellman integro-PDEs ⋮ Generalized Evans-Krylov and Schauder type estimates for nonlocal fully nonlinear equations with rough kernels of variable orders ⋮ Further Time Regularity for Nonlocal, Fully Nonlinear Parabolic Equations ⋮ Small perturbation solutions for nonlocal elliptic equations ⋮ On Schauder estimates for a class of nonlocal fully nonlinear parabolic equations ⋮ Regularity estimates for nonlocal Schrödinger equations ⋮ Regularity theory for second order integro-PDEs ⋮ Dini estimates for nonlocal fully nonlinear elliptic equations ⋮ Regularity results for nonlocal equations and applications ⋮ \(C^{\sigma +\alpha}\) regularity for concave nonlocal fully nonlinear elliptic equations with rough kernels ⋮ Existence of \(C^\alpha \) solutions to integro-PDEs

Cites Work

• Unnamed Item
• Unnamed Item
• Schauder estimates for solutions of linear parabolic integro-differential equations
• Boundary regularity for fully nonlinear integro-differential equations
• \(C^{\sigma,\alpha}\) estimates for concave, non-local parabolic equations with critical drift
• Regularity for fully nonlinear nonlocal parabolic equations with rough kernels
• Interior a priori estimates for solutions of fully nonlinear equations
• Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations
• The Evans-Krylov theorem for nonlocal fully nonlinear equations
• On \(L_p\)-estimates for a class of non-local elliptic equations
• Regularity results for nonlocal equations by approximation
• Regularity results for stable-like operators
• Schauder estimates for a class of non-local elliptic equations
• On the Cauchy problem for integro-differential operators in Hölder classes and the uniqueness of the martingale problem
• Aleksandrov-Bakelman-Pucci type estimates for integro-differential equations
• Regularity for solutions of nonlocal parabolic equations. II
• Hölder estimates for non-local parabolic equations with critical drift
• Regularity for solutions of non local parabolic equations
• Integro-Differential equations with nonlinear directional dependence
• Regularity theory for fully nonlinear integro-differential equations
• Estimates for elliptic systems from composite material
• Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces
• C^{1, α}Interior Regularity for Nonlinear Nonlocal Elliptic Equations with Rough Kernels
• \(C^{\sigma +\alpha}\) regularity for concave nonlocal fully nonlinear elliptic equations with rough kernels