$L_p$-estimates for time fractional parabolic equations in divergence form with measurable coefficients

Abstract

In this paper, we establish $L_p$ estimates and solvability for time fractional divergence form parabolic equations in the whole space when leading coefficients are merely measurable in one spatial variable and locally have small mean oscillations with respect to the other variables. The corresponding results for equations on a half space are also derived.

48 pages. arXiv admin note: text overlap with arXiv:1806.02635

Cited by in corpus (1)

• An approach for weighted mixed-norm estimates for parabolic equations with local and non-local time derivatives