Holder Regularity for Nondivergence nonlocal parabolic equations
Analysis of PDEs
2018-05-16 v2
Abstract
This paper proves H\"older continuity of viscosity solutions to certain nonlocal parabolic equations that involve a generalized fractional time derivative of Marchaud or Caputo type. As a necessary and preliminary result, this paper first shows that viscosity solutions to certain nonlinear ordinary differential equations involving the generalized fractional time derivative are H\"older continuous.
Cite
@article{arxiv.1610.10073,
title = {Holder Regularity for Nondivergence nonlocal parabolic equations},
author = {Mark Allen},
journal= {arXiv preprint arXiv:1610.10073},
year = {2018}
}
Comments
Final version to appear in CVPDE