Summary: SCUOLA NORMALE SUPERIORE
Pisa
Preprints di Matematica - n. 7 Marzo 2004
Stabilization by noise for a class of stochastic
reaction-diffusion equations
SANDRA CERRAI
Stabilization by noise for a class of stochastic
reaction-diffusion equations
Sandra Cerrai
Dip. Matematica per le Decisioni
Universit`a di Firenze
Via C. Lombroso 6/17
I-50134 Firenze, Italy.
Abstract
We prove uniqueness, ergodicity and strongly mixing property of the invariant
measure for a class of stochastic reaction-diffusion equations with multiplicative
noise, in which the diffusion term in front of the noise may vanish and the determin-
istic part of the equation is not necessary asymptotically stable. To this purpose,
we show that the L1
-norm of the difference of two solutions starting from any two

Source: Abbondandolo, Alberto - Scuola Normale Superiore of Pisa

Collections: Mathematics