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Some Results about Dissipativity of Kolmogorov Operators

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Abstract

Given a Hilbert space H with a Borel probability measure ν, we prove the m-dissipativity in L 1(H, ν) of a Kolmogorov operator K that is a perturbation, not necessarily of gradient type, of an Ornstein-Uhlenbeck operator.

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Authors and Affiliations

  1. Scuola Normale Superiore di Pisa, Piazza dei Cavalieri 7, I-56126, Pisa, Italy

    Giuseppe Da Prato

  2. Department of Mathematics, University of Trento, via Sommarive 14, I-38050, Povo (Trento), Italy

    Luciano Tubaro

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  1. Giuseppe Da Prato
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  2. Luciano Tubaro
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Da Prato, G., Tubaro, L. Some Results about Dissipativity of Kolmogorov Operators. Czechoslovak Mathematical Journal 51, 685–699 (2001). https://doi.org/10.1023/A:1013704610695

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  • DOI: https://doi.org/10.1023/A:1013704610695

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