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

被引：19
作者：
Dong, Hongjie [1 ]
Kim, Doyoon [2 ]
机构：
[1] Brown Univ, Div Appl Math, 182 George St, Providence, RI 02912 USA
[2] Korea Univ, Dept Math, 145 Anam Ro, Seoul 02841, South Korea
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2020年 / 278卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
Parabolic equations; Time fractional derivative; Measurable coefficients; Small mean oscillations; ELLIPTIC-EQUATIONS; BMO COEFFICIENTS; VMO; SYSTEMS;
D O I：
10.1016/j.jfa.2019.108338
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：66
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