Mathematics – Probability
Scientific paper
2006-11-03
Journal of Theoretical Probability 17 (01/2004) 1-49
Mathematics
Probability
Scientific paper
10.1023/B:JOTP.0000020474.79479.
In this paper we show that the Cahn-Hilliard stochastic SPDE has a function valued solution in dimension 4 and 5 when the perturbation is driven by a space-correlated Gaussian noise. This is done proving general results on SPDEs with globally Lipschitz coefficients associated with operators on smooth domains of $\mathbb{R}^d$ which are parabolic in the sense of Petrovskii}, and do not necessarily define a semi-group of operators. We study the regularity of the trajectories of the solutions and the absolute continuity of the law at some given time and position.
Cardon-Weber Caoline
Millet Annie
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