Geodesic
Global properties of transition pProbabilities of singular diffusions
Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 1, pp. 116-148

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We prove global Sobolev regularity and pointwise upper bounds for transition densities associated with second order differential operators in $R^N$ with unbounded drift. As an application, we obtain sufficient conditions implying the differentiability of the associated transition semigroup on the space of bounded and continuous functions on $R^N$.
Keywords: transition semigroups, transition probabilities, parabolic regularity. 
@article{TVP_2009_54_1_a6,
     author = {G. Metafune and D. Pallara and A. Rhandi},
     title = {Global properties of transition {pProbabilities} of singular diffusions},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {116--148},
     publisher = {mathdoc},
     volume = {54},
     number = {1},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_2009_54_1_a6/}
}
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G. Metafune; D. Pallara; A. Rhandi. Global properties of transition pProbabilities of singular diffusions. Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 1, pp. 116-148. http://geodesic.mathdoc.fr/item/TVP_2009_54_1_a6/