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Preprints di Matematica -n. 15 Novembre 2004 Infinite Dimensional Kolmogorov Equations
 

Summary: Preprints di Matematica - n. 15 Novembre 2004
Infinite Dimensional Kolmogorov Equations
with Lipschitz Nonlinearities
ROBERTO STASI
SCUOLA NORMALE SUPERIORE
Pisa
Infinite Dimensional Kolmogorov Equations
with Lipschitz Nonlinearities
Roberto Stasi
Scuola Normale Superiore
Piazza dei Cavalieri, 7
56126 Pisa
e-mail: roberto.stasi@sns.it
Abstract
Given a separable Hilbert space H, we prove m-dissipativity in
spaces of weighted weakly continuous functions of a Kolmogorov op-
erator L which is a perturbation of an Ornstein-Uhlenbeck operator
with Lipschitz nonlinearities. We study moreover some properties of its
domain.
AMS Subject Classification 2000: 47D07, 47B37, 35K57, 60H15.

  

Source: Abbondandolo, Alberto - Scuola Normale Superiore of Pisa

 

Collections: Mathematics