Abstract
In this paper, we establish Lp-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.
Original language | English |
---|---|
Article number | 108338 |
Journal | Journal of Functional Analysis |
Volume | 278 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2020 Feb 1 |
Keywords
- Measurable coefficients
- Parabolic equations
- Small mean oscillations
- Time fractional derivative
ASJC Scopus subject areas
- Analysis