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research article

Invariant measures for stochastic partial differential equations in unbounded domains

Eckmann, J. P.
•
Hairer, Martin  
January 1, 2001
Nonlinearity

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.

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Type
research article
DOI
10.1088/0951-7715/14/1/308
Scopus ID

2-s2.0-0035218988

Author(s)
Eckmann, J. P.
Hairer, Martin  
Date Issued

2001-01-01

Published in
Nonlinearity
Volume

14

Issue

1

Start page

133

End page

151

Editorial or Peer reviewed

REVIEWED

Written at

OTHER

EPFL units
PROPDE  
Available on Infoscience
September 17, 2024
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/241176
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