# Some results about dissipativity of Kolmogorov operators

Giuseppe Da Prato; Luciano Tubaro

Czechoslovak Mathematical Journal (2001)

- Volume: 51, Issue: 4, page 685-699
- ISSN: 0011-4642

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topPrato, Giuseppe Da, and Tubaro, Luciano. "Some results about dissipativity of Kolmogorov operators." Czechoslovak Mathematical Journal 51.4 (2001): 685-699. <http://eudml.org/doc/30665>.

@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 -

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## Citations in EuDML Documents

top- Giuseppe Da Prato, Arnaud Debussche, Luciano Tubaro, Irregular semi-convex gradient systems perturbed by noise and application to the stochastic Cahn–Hilliard equation
- Viorel Barbu, Giuseppe Da Prato, Arnaud Debussche, Essential m-dissipativity of Kolmogorov operators corresponding to periodic $2D$-Navier Stokes equations
- Giuseppe Da Prato, Luciano Tubaro, The Martingale Problem in Hilbert Spaces

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