Mathematics – Probability
Scientific paper
2005-04-27
Annals of Probability 2006, Vol. 34, No. 2, 638-662
Mathematics
Probability
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.
Lototsky Sergey V.
Rozovskii Boris L.
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