Special Session 29: Stochastic and deterministic dynamical systems and applications
Contents
We prove the existence and uniqueness
of random attractors for non-autonomous
stochastic P-laplace equations on $R^n$
driven by white noise. The periodicity of
random attractors is obtained when external forcing
is time periodic. We also establish
the upper semicontinuity of random attractors
as the intensity of noise approaches zero.
The pullback asymptotic compactness of solutions
is proved by combining the compactness of Sobolev
embeddings in bounded domains and the uniform
smallness of solutions outside a sufficiently large
ball.