Abstract
In this paper, we establish Lp-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 | |
| Publication status | Published - 2020 Feb 1 |
Fingerprint
Keywords
- Measurable coefficients
- Parabolic equations
- Small mean oscillations
- Time fractional derivative
ASJC Scopus subject areas
- Analysis
Cite this
Lp-estimates for time fractional parabolic equations in divergence form with measurable coefficients. / Dong, Hongjie; Kim, Doyoon.
In: Journal of Functional Analysis, Vol. 278, No. 3, 108338, 01.02.2020.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Lp-estimates for time fractional parabolic equations in divergence form with measurable coefficients
AU - Dong, Hongjie
AU - Kim, Doyoon
PY - 2020/2/1
Y1 - 2020/2/1
N2 - In this paper, we establish Lp-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.
AB - In this paper, we establish Lp-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.
KW - Measurable coefficients
KW - Parabolic equations
KW - Small mean oscillations
KW - Time fractional derivative
UR - http://www.scopus.com/inward/record.url?scp=85073724721&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85073724721&partnerID=8YFLogxK
U2 - 10.1016/j.jfa.2019.108338
DO - 10.1016/j.jfa.2019.108338
M3 - Article
AN - SCOPUS:85073724721
VL - 278
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
SN - 0022-1236
IS - 3
M1 - 108338
ER -