Integration of Brownian vector fields

Details Integration of Brownian vector fields Integration of Brownian vector fields

1999-09-24

arxiv.org/abs/math/9909147v2

Mathematics

Probability

40 pages, 7 encapsulated postscript figures, uses epsf

Scientific paper

Using the Wiener chaos decomposition, we show that strong solutions of non
Lipschitzian S.D.E.'s are given by random Markovian kernels. The example of
Sobolev flows is studied in some detail, exhibiting interesting phase
transitions.

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