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An L-p-Theory of SPDEs on Lipschitz Domains
- Authors
- Kim, Kyeong-Hun
- Issue Date
- 11월-2008
- Publisher
- SPRINGER
- Keywords
- Stochastic partial differential equations; Lipschitz domains; Weighted Sobolev spaces
- Citation
- POTENTIAL ANALYSIS, v.29, no.3, pp.303 - 326
- Indexed
- SCIE
SCOPUS
- Journal Title
- POTENTIAL ANALYSIS
- Volume
- 29
- Number
- 3
- Start Page
- 303
- End Page
- 326
- ISSN
- 0926-2601
- Abstract
- Stochastic partial differential equations are considered on Lipschitz domains. 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 real number, in particular, it can be negative and fractional. It is allowed that the coefficients of the equations blow up near the boundary.
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