On strongly Petrovskii's parabolic SPDEs in arbitrary dimension and the stochastic Cahn-Hilliard equation

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dc.creatorCardon-Weber, Caoline
dc.creatorMillet, Annie
dc.date2006-11-03
dc.date.accessioned2026-07-07T07:32:30Z
dc.date.available2026-07-07T07:32:30Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/math/0611090
dc.identifierhttp://arxiv.org/abs/math/0611090
dc.identifierJournal of Theoretical Probability 17 (01/2004) 1-49
dc.identifierdoi:10.1023/B:JOTP.0000020474.79479.fa
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119135
dc.subjectProbability
dc.subject60H07 60H15 35R60
dc.titleOn strongly Petrovskii's parabolic SPDEs in arbitrary dimension and the stochastic Cahn-Hilliard equation
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