The Kolmogorov operator associated to a Burgers SPDE in spaces of continuous functions

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dc.creatorManca, Luigi
dc.date2008-05-14
dc.date.accessioned2026-07-07T09:38:47Z
dc.date.available2026-07-07T09:38:47Z
dc.descriptionWe are concerned with a viscous Burgers equation forced by a perturbation of white noise type. We study the corresponding transition semigroup in a space of continuous functions weighted by a proper potential, and we show that the infinitesimal generator is the closure (with respect to a suitable topology) of the Kolmogorov operator associated to the stochastic equation. In the last part of the paper we use this result to solve the corresponding Fokker-Planck equation.
dc.description39 pages
dc.identifierhttps://arxiv.org/abs/0805.2011
dc.identifierhttp://arxiv.org/abs/0805.2011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160939
dc.subjectAnalysis of PDEs
dc.subjectProbability
dc.subject35Q53, 60H15, 35R15, 47D07
dc.titleThe Kolmogorov operator associated to a Burgers SPDE in spaces of continuous functions
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