Some results about dissipativity of Kolmogorov operators

@article{Prato2001,
abstract = {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.},
author = {Prato, Giuseppe Da, Tubaro, Luciano},
journal = {Czechoslovak Mathematical Journal},
keywords = {Kolmogorov equations; invatiant measures; $m$-dissipativity; Kolmogorov equations; invatiant measures; -dissipativity},
language = {eng},
number = {4},
pages = {685-699},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some results about dissipativity of Kolmogorov operators},
url = {http://eudml.org/doc/30665},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Prato, Giuseppe Da
AU - Tubaro, Luciano
TI - Some results about dissipativity of Kolmogorov operators
JO - Czechoslovak Mathematical Journal
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 4
SP - 685
EP - 699
AB - 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.
LA - eng
KW - Kolmogorov equations; invatiant measures; $m$-dissipativity; Kolmogorov equations; invatiant measures; -dissipativity
UR - http://eudml.org/doc/30665
ER -