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A W-p(n)-theory of parabolic equations with unbounded leading coefficients on non-smooth domains
- Authors
- Kim, Kyeong-Hun
- Issue Date
- 1-2월-2009
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Unbounded leading coefficients; Non-smooth domains; Hardy inequality; Weighted Sobolev spaces
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.350, no.1, pp.294 - 305
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 350
- Number
- 1
- Start Page
- 294
- End Page
- 305
- ISSN
- 0022-247X
- Abstract
- We study parabolic partial differential equations with unbounded second-, first- and zero-order coefficients on non-smooth domains allowing Hardy inequality. Existence and uniqueness results are given in weighted Sobolev spaces. and Holder estimates of the solutions are also obtained. The number of derivatives of the solutions can be any nonnegative real number, in particular, it can be fractional. (C) 2008 Elsevier Inc. All rights reserved.
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