Abstract
We present a weighted Lp-theory of parabolic systems on a half space Rd+. The leading coefficients are assumed to be only measurable in time t and have small bounded mean oscillations (BMO) with respect to the spatial variables x, and the lower order coefficients are allowed to blow up near the boundary.
Original language | English |
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Pages (from-to) | 2587-2613 |
Number of pages | 27 |
Journal | Communications on Pure and Applied Analysis |
Volume | 21 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2022 Aug |
Bibliographical note
Publisher Copyright:© 2022 American Institute of Mathematical Sciences. All rights reserved.
Keywords
- measurable coefficients
- parabolic systems
- sharp/maximal functions
- weighted Sobolev spaces
ASJC Scopus subject areas
- Analysis
- Applied Mathematics