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

   
@article{EJP913,
	author = {Lee Kijung and Kim Kyeong-Hun},
	title = {A $W^1_2$-Theory of Stochastic Partial Differential Systems of Divergence Type on $C^1$ Domains},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {16},
	year = {2011},
	keywords = {stochastic parabolic partial differential systems, divergence type, weighted Sobolev spaces},
	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.},
	pages = {no. 47, 1296-1317},
	issn = {1083-6489},
	doi = {10.1214/EJP.v16-913},    
        url = {http://ejp.ejpecp.org/article/view/913}}