Summary: SCUOLA NORMALE SUPERIORE
Pisa
Preprints di Matematica - n. 4 Febbraio 2004
m-dissipativity of
Kolmogorov operators corresponding to Burgers
equations with space-time white noise
GIUSEPPE DA PRATO - ARNAUD DEBUSSCHE
m­dissipativity of Kolmogorov operators corresponding to
Burgers equations with space­time white noise
Giuseppe Da Prato
Scuola Normale Superiore, 56126, Pisa, Italy
daprato@sns.it
Arnaud Debussche
Ecole Normale Sup´erieure de Cachan, antenne de Bretagne
Campus de Ker Lann, 35170 Bruz, France
debussche@bretagne.ens-cachan.fr
Abstract
In this article, we prove that the Kolmogorov operator associated to the Burgers equation
driven by a space-time white noise is m-dissipative. This implies several properties on the
Kolmogorov equation. This result is obtained thanks to the introduction of a modified Kol-

Source: Abbondandolo, Alberto - Scuola Normale Superiore of Pisa

Collections: Mathematics