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Article

Prato, Giuseppe Da ; Tubaro, Luciano
Some results about dissipativity of Kolmogorov operators. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 4, pp. 685-699
MSC: 35K57, 37L40, 47B25, 47N50, 70H15, 81S20 | MR 1864036 | Zbl 0996.47028
Keywords:
Kolmogorov equations; invatiant measures; $m$-dissipativity
Summary:
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.
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