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This article is cited in 30 scientific papers (total in 30 papers)
Global properties of transition pProbabilities of singular diffusions
G. Metafunea, D. Pallaraa, A. Rhandib a Lecce University
b University of Salerno
Abstract:
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.
Received: 28.03.2008
Citation:
G. Metafune, D. Pallara, A. Rhandi, “Global properties of transition pProbabilities of singular diffusions”, Teor. Veroyatnost. i Primenen., 54:1 (2009), 116–148; Theory Probab. Appl., 54:1 (2010), 68–96
Linking options:
https://www.mathnet.ru/eng/tvp2549https://doi.org/10.4213/tvp2549 https://www.mathnet.ru/eng/tvp/v54/i1/p116
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Abstract page: | 642 | Full-text PDF : | 223 | References: | 108 |
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