Stability and genericity for SPDEs driven by spatially correlated noise

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dc.creatorBahlali, K.
dc.creatorEddahbi, M.
dc.creatorMellouk, M.
dc.date2006-10-05
dc.date.accessioned2026-07-07T07:28:44Z
dc.date.available2026-07-07T07:28:44Z
dc.descriptionWe consider stochastic partial differential equations on $\mathbb{R}^{d}, d\geq 1$, driven by a Gaussian noise white in time and colored in space, for which the pathwise uniqueness holds. By using the Skorokhod representation theorem we establish various strong stability results. Then, we give an application to the convergence of the Picard successive approximation. Finally, we show that in the sense of Baire category, almost all stochastic partial differential equations with continuous and bounded coefficients have the properties of existence and uniqueness of solutions as well as the continuous dependence on the coefficients.
dc.identifierhttps://arxiv.org/abs/math/0610174
dc.identifierhttp://arxiv.org/abs/math/0610174
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117843
dc.subjectProbability
dc.subject60H15 (35R60)
dc.titleStability and genericity for SPDEs driven by spatially correlated noise
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