Journal article
Directional homogenization of elliptic equations in non-divergence form
Journal of Differential Equations, Vol.268(11), pp.6611-6645
05/15/2020
DOI: 10.1016/j.jde.2019.11.041
Abstract
The paper concerns regularities of solutions of elliptic equations in non-divergence form with directional homogenization. The main interest is to investigate the differences of regularities of datums that are needed and of solutions that are obtained between directions with homogenization and without homogenization. We establish uniform interior Lp(1<p≤∞) estimates for D2uε and uniform interior Cγ(0≤γ<1) estimates for DDx′uε, where x′ are the non-homogenization directions. Our results are optimal.
Details
- Title: Subtitle
- Directional homogenization of elliptic equations in non-divergence form
- Creators
- Rong Dong - Xi'an Jiaotong UniversityDongsheng Li - Xi'an Jiaotong UniversityLihe Wang - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of Differential Equations, Vol.268(11), pp.6611-6645
- Publisher
- Elsevier Inc
- DOI
- 10.1016/j.jde.2019.11.041
- ISSN
- 0022-0396
- eISSN
- 1090-2732
- Grant note
- 3115200139 / China Postdoctoral Science Foundation (https://doi.org/10.13039/501100002858) 11671316 / National Natural Science Foundation of China (https://doi.org/10.13039/501100001809)
- Language
- English
- Date published
- 05/15/2020
- Academic Unit
- Mathematics
- Record Identifier
- 9984241158002771
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