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A W-2(n)-theory of elliptic and parabolic partial differential systems in C-1 domains
- Authors
- Kim, Kyeong-Hun; Lee, Kijung
- Issue Date
- 15-7월-2012
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Elliptic systems; Parabolic systems; Weighted Sobolev spaces
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.391, no.2, pp.397 - 414
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 391
- Number
- 2
- Start Page
- 397
- End Page
- 414
- ISSN
- 0022-247X
- Abstract
- In this paper we consider the second-order parabolic partial differential systems and elliptic systems with C-1 space domains. We prove the existence and uniqueness results in the Sobolev spaces with weights. In this solution spaces the derivatives of solutions are allowed to blow up near the boundary and also the coefficients of the systems may oscillate to a great extent or blow up near the boundary. (C) 2012 Elsevier Inc. All rights reserved.
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