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

2018/06/07 by Dong, Hongjie, Kim, Doyoon · 2 citations
#26A33 #35R05 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1806.02635

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.

Cited by

• Non-autonomous semilinear fractional evolution equations: well-posedness and ultracontractivity results
• Muckenhoupt-weighted L_q(L_p) boundedness for time-space fractional nonlocal operators

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