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An L (p) -theory of Stochastic PDEs of Divergence Form on Lipschitz Domains
- Authors
- Kim, Kyeong-Hun
- Issue Date
- 3월-2009
- Publisher
- SPRINGER/PLENUM PUBLISHERS
- Keywords
- Stochastic partial differential equations; Divergence form; Lipschitz domains; Weighted Sobolev spaces
- Citation
- JOURNAL OF THEORETICAL PROBABILITY, v.22, no.1, pp.220 - 238
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF THEORETICAL PROBABILITY
- Volume
- 22
- Number
- 1
- Start Page
- 220
- End Page
- 238
- ISSN
- 0894-9840
- Abstract
- Stochastic partial differential equations of divergence form are considered on Lipschitz domains. Existence and uniqueness results are given in weighted Sobolev spaces. It is allowed that the coefficients of the equations substantially oscillate or blow up near the boundary.
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