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Working paper

Strong uniqueness for SDEs in Hilbert spaces with non-regular drift

arxiv.org. cond-mat. Cornell University, 2014. No. arXiv:1404.5418.
Veretennikov A., Da Prato G., Flandoli F., Roeckner M.
We prove pathwise uniqueness for a class of stochastic differential equations (SDE) on a Hilbert space with cylindrical Wiener noise, whose non-linear drift parts are sums of the subdifferential of a convex function and a bounded part. This generalizes a classical result by one of the authors (Veretennikov) to infinite dimensions.