A Parabolic Problem with a Fractional-Time Derivative
Analysis of PDEs
2016-02-18 v1
Abstract
We study regularity for a parabolic problem with fractional diffusion in space and a fractional time derivative. Our main result is a De Giorgi-Nash-Moser Holder regularity theorem for solutions in a divergence form equation. We also prove results regarding existence, uniqueness, and higher regularity in time.
Keywords
Cite
@article{arxiv.1501.07211,
title = {A Parabolic Problem with a Fractional-Time Derivative},
author = {Mark Allen and Luis Caffarelli and Alexis Vasseur},
journal= {arXiv preprint arXiv:1501.07211},
year = {2016}
}