Regularity for fully nonlinear integro-differential operators with regularly varying kernels

DOI10.1007/s11118-015-9525-yzbMath1338.35086arXiv1405.4970OpenAlexW1670581377MaRDI QIDQ283433

Ki-Ahm Lee, Soojung Kim, Yong-Cheol Kim

Publication date: 13 May 2016

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.4970

zbMATH Keywords

Hölder estimateregularly varying kerneluniform Harnack inequalityuniform regularity estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Viscosity solutions to PDEs (35D40) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items (10)

Boundary regularity for nonlocal operators with kernels of variable orders ⋮ Harnack inequalities and Hölder estimates for fully nonlinear integro-differential equations with weak scaling conditions ⋮ Regularity for fully nonlinear equations driven by spatial-inhomogeneous nonlocal operators ⋮ A study of nonlocal spatially heterogeneous logistic equation with harvesting ⋮ Regularity for fully nonlinear integro-differential operators with kernels of variable orders ⋮ Intrinsic scaling properties for nonlocal operators ⋮ One-dimensional solutions of non-local Allen-Cahn-type equations with rough kernels ⋮ On nonlocal systems with jump processes of finite range and with decays ⋮ Harnack inequality for nonlocal operators on manifolds with nonnegative curvature ⋮ Estimates for Dirichlet-to-Neumann maps as integro-differential operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularity results for fully nonlinear parabolic integro-differential operators
• Hitchhiker's guide to the fractional Sobolev spaces
• Intrinsic scaling properties for nonlocal operators
• The Evans-Krylov theorem for nonlocal fully nonlinear equations
• Regularity results for fully nonlinear integro-differential operators with nonsymmetric positive kernels
• The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
• Second-order elliptic integro-differential equations: viscosity solutions' theory revisited
• Regularity results for fully nonlinear integro-differential operators with nonsymmetric positive kernels: subcritical case
• Regularity for solutions of nonlocal, nonsymmetric equations
• Regularity for solutions of non local parabolic equations
• Regularity theory for fully nonlinear integro-differential equations
• Equqtions D'Hamilton-Jacobi Du Premier Ordre Avec Termes Intégro-Différentiels
• Potential Theory of Subordinate Brownian Motions Revisited

This page was built for publication: Regularity for fully nonlinear integro-differential operators with regularly varying kernels