L_p-estimates for time fractional parabolic equations with coefficients measurable in time
classification
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keywords
timecoefficientsequationsfractionalmeasurableparabolicestablishestimates
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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.
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