A Parabolic Problem with a Fractional-Time Derivative

Published 28 Jan 2015 in math.AP | (1501.07211v1)

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.

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