Some Results about Dissipativity of Kolmogorov Operators

Czechoslovak Mathematical Journal - Tập 51 - Trang 685-699 - 2001
Giuseppe Da Prato1, Luciano Tubaro2
1Scuola Normale Superiore di Pisa, Pisa, Italy
2Department of Mathematics, University of Trento, Povo Trento, Italy

Tóm tắt

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.