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Sobolev space theory of parabolic equations degenerating on the boundary of C-1 domains
- Authors
- Kim, Kyeong-Hun
- Issue Date
- 2007
- Publisher
- TAYLOR & FRANCIS INC
- Keywords
- C-1 domains; degenerate parabolic equations; Sobolev spaces with weights
- Citation
- COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, v.32, no.7-9, pp.1261 - 1280
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
- Volume
- 32
- Number
- 7-9
- Start Page
- 1261
- End Page
- 1280
- ISSN
- 0360-5302
- Abstract
- Second-order parabolic equations degenerating on the boundary of C-1 domains are considered. Existence and uniqueness results are given in weighted Sobolev spaces, and Holder estimates of the solutions are presented.
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