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A weighted L-p-theory for parabolic PDEs with BMO coefficients on C-1-domains
- Authors
- Kim, Kyeong-Hun; Lee, Kijung
- Issue Date
- 15-1월-2013
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Parabolic equations; Weighted Sobolev spaces; L-p-theory; BMO coefficients; VMO coefficients
- Citation
- JOURNAL OF DIFFERENTIAL EQUATIONS, v.254, no.2, pp.368 - 407
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF DIFFERENTIAL EQUATIONS
- Volume
- 254
- Number
- 2
- Start Page
- 368
- End Page
- 407
- ISSN
- 0022-0396
- 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. (C) 2012 Elsevier Inc. All rights reserved.
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