Abstract
In this paper we present a weighted L p-theory of second-order parabolic partial differential equations defined on C 1 domains. The leading coefficients are assumed to be measurable in time variable and have VMO (vanishing mean oscillation) or small BMO (bounded mean oscillation) with respect to space variables, and lower order coefficients are allowed to be unbounded and to blow up near the boundary. Our BMO condition is slightly relaxed than the others in the literature.
Original language | English |
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Pages (from-to) | 368-407 |
Number of pages | 40 |
Journal | Journal of Differential Equations |
Volume | 254 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2013 Jan 15 |
Keywords
- BMO coefficients
- L -theory
- Parabolic equations
- VMO coefficients
- Weighted Sobolev spaces
ASJC Scopus subject areas
- Analysis
- Applied Mathematics