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Further Time Regularity for Nonlocal, Fully Nonlinear Parabolic Equations
Author(s) -
ChangLara Héctor A.,
Kriventsov Dennis
Publication year - 2017
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.21671
Subject(s) - mathematics , parabolic partial differential equation , nonlinear system , mathematical analysis , time derivative , derivative (finance) , boundary (topology) , partial differential equation , physics , quantum mechanics , financial economics , economics
We establish Hölder estimates for the time derivative of solutions of nonlocal parabolic equations under mild assumptions for the boundary data. As a consequence we are able to extend the Evans‐Krylov estimate for rough kernels to parabolic equations. © 2016 Wiley Periodicals, Inc.