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A $W^1_2$-Theory of Stochastic Partial Differential Systems of Divergence Type on $C^1$ Domains


 
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1. Title Title of document A $W^1_2$-Theory of Stochastic Partial Differential Systems of Divergence Type on $C^1$ Domains
 
2. Creator Author's name, affiliation, country Lee Kijung; Ajou University; Korea, Republic Of
 
2. Creator Author's name, affiliation, country Kim Kyeong-Hun; Korea University; Korea, Republic Of
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) stochastic parabolic partial differential systems, divergence type, weighted Sobolev spaces
 
3. Subject Subject classification 60H15, 35R60
 
4. Description Abstract In this paper we study the stochastic partial differential systems of divergence type with $\mathcal{C}^1$ space domains in $\mathbb{R}^d$. 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) National Research Foundation of Korea (NRF)
 
7. Date (YYYY-MM-DD) 2011-07-07
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/913
 
10. Identifier Digital Object Identifier 10.1214/EJP.v16-913
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 16
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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