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SCUOLA NORMALE SUPERIORE Preprints di Matematica -n. 2 Gennaio 2005
 

Summary: SCUOLA NORMALE SUPERIORE
Pisa
Preprints di Matematica - n. 2 Gennaio 2005
Ergodicity for nonlinear stochastic equations
of calculus of variation
VIOREL BARBU - GIUSEPPE DA PRATO
Stampato in proprio
GENNAIO 2005
Scuola Normale Superiore, Piazza dei Cavalieri 7, PISA
Ergodicity for nonlinear stochastic equations of calculus of
variation
Viorel Barbu
University Al. I. Cuza, 6600, Iasi, Romania
Giuseppe Da Prato (1)
Scuola Normale Superiore, 56126, Pisa, Italy
Abstract. This paper is concerned with nonlinear partial differential equations of the calculus
of variation (see [13]) perturbed by noise. Well posedness of the problem was proved by E. Pardoux
in the seventies (see [14]), using monotonicity methods. The aim of the present work is to investigate
the asymptotic behaviour of the corresponding transition semigroup Pt. We show existence and,
under suitable assumptions, uniqueness of an ergodic invariant measure . Moreover, we solve the

  

Source: Abbondandolo, Alberto - Scuola Normale Superiore of Pisa

 

Collections: Mathematics