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 -domain. We also show that the diffusion is a Dirichlet process for each starting point inside the domain.
@article{bwmeta1.element.bwnjournal-article-smv139i2p141bwm,
author = {Andrzej Rozkosz and Leszek S\l omi\'nski},
title = {Stochastic representation of reflecting diffusions corresponding to divergence form operators},
journal = {Studia Mathematica},
volume = {141},
year = {2000},
pages = {141-174},
zbl = {0979.60069},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv139i2p141bwm}
}
Rozkosz, Andrzej; Słomiński, Leszek. Stochastic representation of reflecting diffusions corresponding to divergence form operators. Studia Mathematica, Tome 141 (2000) pp. 141-174. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv139i2p141bwm/
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