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

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초록

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. (C) 2019 Elsevier Inc. All rights reserved.

키워드

Parabolic equationsTime fractional derivativeMeasurable coefficientsSmall mean oscillationsELLIPTIC-EQUATIONSBMO COEFFICIENTSVMOSYSTEMS
제목
L-p-estimates for time fractional parabolic equations in divergence form with measurable coefficients
저자
Dong, HongjieKim, Doyoon
DOI
10.1016/j.jfa.2019.108338
발행일
2020-02-01
유형
Article
저널명
Journal of Functional Analysis
278
3