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Strong solutions of SDEs with critical discontinuities in diffusion coefficients

Boutiah, S. E. et al.
arXiv (All) · Papers
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analysis-of-pdesprobability
We prove strong existence for Itô SDEs with diffusion coefficients that can introduce strong attraction to a submanifold. We extend and strengthen the Röckner-Zhao approach, which uses Malliavin calculus to establish compactness of the approximating solutions in Wiener-Sobolev space. At least when t
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