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arXiv · 1806.02635

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

Hongjie Dong·Doyoon Kim
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Abstract

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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Hongjie Dong, Doyoon Kim. 2018-06-07. $L_p$-estimates for time fractional parabolic equations with coefficients measurable in time. https://arxiv.org/abs/1806.02635

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