Geodesic
Some results about dissipativity of Kolmogorov operators
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 4, pp. 685-699

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Given a Hilbert space $H$ with a Borel probability measure $\nu $, we prove the $m$-dissipativity in $L^1(H, \nu )$ of a Kolmogorov operator $K$ that is a perturbation, not necessarily of gradient type, of an Ornstein-Uhlenbeck operator.
Classification : 35K57, 37L40, 47B25, 47N50, 70H15, 81S20
Keywords: Kolmogorov equations; invatiant measures; $m$-dissipativity 
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     author = {Prato, Giuseppe Da and Tubaro, Luciano},
     title = {Some results about dissipativity of {Kolmogorov} operators},
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     zbl = {0996.47028},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2001__51_4_a2/}
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Prato, Giuseppe Da; Tubaro, Luciano. Some results about dissipativity of Kolmogorov operators. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 4, pp. 685-699. http://geodesic.mathdoc.fr/item/CMJ_2001__51_4_a2/