Homogenization of a singular random one-dimensional PDE

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dc.creatorIftimie, Bogdan
dc.creatorPardoux, Étienne
dc.creatorPiatnitski, Andrey
dc.date2008-06-16
dc.date.accessioned2026-07-07T12:19:32Z
dc.date.available2026-07-07T12:19:32Z
dc.descriptionThis paper deals with the homogenization problem for a one-dimensional parabolic PDE with random stationary mixing coefficients in the presence of a large zero order term. We show that under a proper choice of the scaling factor for the said zero order terms, the family of solutions of the studied problem converges in law, and describe the limit process. It should be noted that the limit dynamics remain random.
dc.descriptionPublished in at http://dx.doi.org/10.1214/07-AIHP134 the Annales de l'Institut Henri Poincaré - Probabilités et Statistiques (http://www.imstat.org/aihp/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/0806.2518
dc.identifierhttp://arxiv.org/abs/0806.2518
dc.identifierAnnales de l'Institut Henri Poincaré - Probabilités et Statistiques 2008, Vol. 44, No. 3, 519-543
dc.identifierdoi:10.1214/07-AIHP134
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212784
dc.subjectProbability
dc.titleHomogenization of a singular random one-dimensional PDE
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