On signed measure valued solutions of stochastic evolution equations

Bruno Rémillard and Jean Vaillancourt

Stochastic Processes and their Applications, 2014, vol. 124, issue 1, 101-122

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.

Keywords: Signed measure; Stochastic evolution equation; McKean–Vlasov; Wiener sheet (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1016/j.spa.2013.07.003

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