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A weighted L-p-theory for divergence type parabolic PDEs with BMO coefficients on C-1-domains
- Authors
- Kim, Ildoo; Kim, Kyeong-Hun; Lee, Kijung
- Issue Date
- 15-4월-2014
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Parabolic equations of divergence type; Weighted Sobolev spaces; L-p-theory; BMO coefficients; VMO coefficients
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.412, no.2, pp.589 - 612
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 412
- Number
- 2
- Start Page
- 589
- End Page
- 612
- ISSN
- 0022-247X
- Abstract
- In this paper we present a weighted L-p-theory of parabolic equations of divergence type defined on C-1-domains. The leading coefficients have VMO (vanishing mean oscillation) or small BMO (bounded mean oscillation), and lower order coefficients are allowed to be unbounded and to blow up near the boundary. (C) 2013 Elsevier Inc. All rights reserved.
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