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Abstract
This paper is to prove global regularity estimates for solutions to the second-order elliptic equation in non-divergence form with BMO coefficients in a C1,1 domain on weighted variable exponent Lebesgue spaces. Our approach is based on the representations for the solutions to the non-divergence elliptic equations and the domination technique by sparse operators in harmonic analysis.
Original language | English |
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Article number | 2050014 |
Pages (from-to) | 2050014-1-2050014-26 |
Number of pages | 26 |
Journal | Communications in Contemporary Mathematics |
Volume | 23 |
Issue number | 5 |
Early online date | 10 Mar 2020 |
DOIs | |
Publication status | Published - Aug 2021 |
Keywords
- Non-divergence elliptic equation
- weighted variable exponent Lebesgue space
- bounded mean oscillation (BMO) space
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Dive into the research topics of 'Global regularity estimates for non-divergence elliptic equations on weighted variable Lebesgue spaces'. Together they form a unique fingerprint.Projects
- 1 Finished
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Harmonic analysis: function spaces and partial differential equations
Duong, X., Hofmann, S., Ouhabaz, E. M. & Wick, B.
11/02/19 → 10/02/22
Project: Other