Premium
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom