On signed measure valued solutions of stochastic evolution equations |
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Authors: | Bruno Ré millard,Jean Vaillancourt |
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Affiliation: | 1. Service d’enseignement des méthodes quantitatives de gestion, HEC Montréal, 3000, chemin de la Côte-Sainte-Catherine, Montréal (Québec), Canada H3T 2A7;2. Rectorat, UQO, 283, boulevard Alexandre-Taché, Case postale 1250, succursale Hull Gatineau (Québec), Canada J8X 3X7 |
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Abstract: | We study existence, uniqueness and mass conservation of signed measure valued solutions of a class of stochastic evolution equations with respect to the Wiener sheet, including as particular cases the stochastic versions of the regularized two-dimensional Navier–Stokes equations in vorticity form introduced by Kotelenez. |
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Keywords: | primary, 76D06, 60G57, 60H15 secondary, 60H05, 60J60 |
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