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Abstract: 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 coecients associated with operators on smooth domains of R which are parabolic in the sense of Petrovski, and do not necessarily de ne a semi-group of operators. We study the regularity of the trajectories of the solutions and the absolute... (Update)
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BibTeX entry: (Update)
@misc{ laboratoire-strongly,
author = "Cardon-Weber Millet Laboratoire",
title = "On strongly Petrovski's parabolic SPDEs in arbitrary dimension",
url = "citeseer.ist.psu.edu/693946.html" }
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2 SPDEs driven by a homogeneous Wiener process (context) - Peszat
Documents on the same site (http://www.proba.jussieu.fr/mathdoc/preprints/weber.Mon_Sep_17_15_58_27_CEST_2001.html):
On strongly Petrovski's parabolic SPDEs in arbitrary.. - Cardon-Weber Millet.. (Correct)
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