Wiener chaos solutions of linear stochastic evolution equations

Mathematics – Probability

Scientific paper

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Published at http://dx.doi.org/10.1214/009117905000000738 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117905000000738

A new method is described for constructing a generalized solution of a
stochastic evolution equation. Existence, uniqueness, regularity and a
probabilistic representation of this Wiener Chaos solution are established for
a large class of equations. As an application of the general theory, new
results are obtained for several types of the passive scalar equation.

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