L-p-estimates for time fractional parabolic equations with coefficients measurable in time

摘要

We establish the L-p-solvability for time fractional parabolic equations when coefficients are merely measurable in the time variable. In the spatial variables, the leading coefficients locally have small mean oscillations. Our results extend a recent result in [6] to a large extent. (C) 2019 Elsevier Inc. All rights reserved.