research article
Invariant measures for stochastic partial differential equations in unbounded domains
January 1, 2001
We study stochastically forced semilinear parabolic partial differential equations of the Ginzburg-Landau type. The class of forcings considered are white noise in time and coloured smooth noise in space. The existence of the dynamics in L∞, as well as the existence of an invariant measure are proven. We also show that the solutions are with high probability analytic in a strip around the real axis and give estimates on the width of that strip.
Type
research article
Scopus ID
2-s2.0-0035218988
Author(s)
Eckmann, J. P.
Date Issued
2001-01-01
Published in
Volume
14
Issue
1
Start page
133
End page
151
Editorial or Peer reviewed
REVIEWED
Written at
OTHER
EPFL units
Available on Infoscience
September 17, 2024
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