Rozkosz, Andrzej; Słomiński, Leszek Stochastic representation of reflecting diffusions corresponding to divergence form operators. (English) Zbl 0979.60069 Stud. Math. 139, No. 2, 141-174 (2000). Summary: We obtain a stochastic representation of a diffusion corresponding to a uniformly elliptic divergence form operator with co-normal reflection at the boundary of a bounded \(C^2\)-domain. We also show that the diffusion is a Dirichlet process for each starting point inside the domain. Cited in 4 Documents MSC: 60J60 Diffusion processes 35K20 Initial-boundary value problems for second-order parabolic equations Keywords:elliptic divergence form operator; co-normal reflection; Dirichlet process PDFBibTeX XMLCite \textit{A. Rozkosz} and \textit{L. Słomiński}, Stud. Math. 139, No. 2, 141--174 (2000; Zbl 0979.60069) Full Text: EuDML