A Parabolic Problem with a Fractional Time Derivative

作者：Allen, Mark^*; Caffarelli, Luis^*; Vasseur, Alexis^*

来源：Archive for Rational Mechanics and Analysis, 2016, 221(2): 603-630.

DOI：10.1007/s00205-016-0969-z

• REGULARITY
• OPERATORS

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.

• 出版日期2016-8