Lp-estimates for time fractional parabolic equations in divergence form with measurable coefficients

Hongjie Dong; Doyoon Kim

doi:10.1016/j.jfa.2019.108338

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

Hongjie Dong, Doyoon Kim

Research output: Contribution to journal › Article

1 Citation (Scopus)

Abstract

In this paper, we establish L_p-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	https://doi.org/10.1016/j.jfa.2019.108338
Publication status	Published - 2020 Feb 1

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Keywords

Measurable coefficients
Parabolic equations
Small mean oscillations
Time fractional derivative

ASJC Scopus subject areas

Analysis

Cite this

Dong, H., & Kim, D. (2020). L_p-estimates for time fractional parabolic equations in divergence form with measurable coefficients. Journal of Functional Analysis, 278(3), [108338]. https://doi.org/10.1016/j.jfa.2019.108338

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10.1016/j.jfa.2019.108338