Abstract
We give a unified approach to weighted mixed-norm estimates and solvability for both the usual and time fractional parabolic equations in nondivergence form when coefficients are merely measurable in the time variable. In the spatial variables, the leading coefficients locally have small mean oscillations. Our results extend the previous result in [5] for unmixed Lp-estimates without weights.
Original language | English |
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Article number | 107494 |
Journal | Advances in Mathematics |
Volume | 377 |
DOIs | |
Publication status | Published - 2021 Jan 22 |
Keywords
- Mean oscillation estimates
- Measurable coefficients
- Parabolic equation
- Time fractional derivative
ASJC Scopus subject areas
- Mathematics(all)