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- W2028089000 abstract "We prove a uniqueness result for the stochastic transport linear equation (STLE), without any W1,1 or BV hypothesis on the coefficient, which is needed for the corresponding deterministic equation. We use Wiener chaos decomposition to pass from the STLE to a deterministic second-order transport equation with uniqueness property. On prouve un résultat dʼunicité pour lʼéquation de transport linéaire stochastique (STLE), sans aucune hypothèse de type W1,1 ou BV sur le coefficient, qui est nécessaire pour lʼéquation déterministe correspondante. On utilise la décomposition en chaos de Wiener pour passer de la STLE à une équation de transport du second ordre déterministe avec la propriété dʼunicité." @default.
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- W2028089000 date "2011-06-01" @default.
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- W2028089000 title "Wiener chaos and uniqueness for stochastic transport equation" @default.
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- W2028089000 doi "https://doi.org/10.1016/j.crma.2011.05.006" @default.
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