Cordes-Nirenberg type estimates for nonlocal parabolic equations

DOI10.1016/J.NA.2015.10.012zbMath1328.47082arXiv1212.5591OpenAlexW2962936453MaRDI QIDQ898375

Ki-Ahm Lee, Yong-Cheol Kim

Publication date: 8 December 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.5591

zbMATH Keywords

integro-differential operatorsnonlocal parabolic equationsCordes-Nirenberg type estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Integro-partial differential equations (45K05) Applications of operator theory to differential and integral equations (47N20) Integro-differential operators (47G20)

Related Items (3)

Local properties for weak solutions of nonlocal heat equations ⋮ The Evans-Krylov theorem for nonlocal parabolic fully nonlinear equations ⋮ Nonlocal Harnack inequalities for nonlocal heat equations

Cites Work

• Regularity results for fully nonlinear parabolic integro-differential operators
• Interior a priori estimates for solutions of fully nonlinear equations
• The Evans-Krylov theorem for nonlocal fully nonlinear equations
• Regularity results for nonlocal equations by approximation
• The Evans-Krylov theorem for nonlocal parabolic fully nonlinear equations
• Regularity theory for fully nonlinear integro-differential equations
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