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A W-2(1)-theory of Stochastic Partial Differential Systems of Divergence type on C-1 domains
- Authors
- Kim, Kyeong-Hun; Lee, Kijung
- Issue Date
- 7-7월-2011
- Publisher
- UNIV WASHINGTON, DEPT MATHEMATICS
- Keywords
- stochastic parabolic partial differential systems; divergence type; weighted Sobolev spaces
- Citation
- ELECTRONIC JOURNAL OF PROBABILITY, v.16, pp.1296 - 1317
- Indexed
- SCIE
SCOPUS
- Journal Title
- ELECTRONIC JOURNAL OF PROBABILITY
- Volume
- 16
- Start Page
- 1296
- End Page
- 1317
- ISSN
- 1083-6489
- Abstract
- In this paper we study the stochastic partial differential systems of divergence type with C-1 space domains in R-d. Existence and uniqueness results are obtained in terms of Sobolev spaces with weights so that we allow the derivatives of the solution to blow up near the boundary. The coefficients of the systems are only measurable and are allowed to blow up near the boundary.
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