Noiseless regularisation by noise (Q832452)

Based on authors' abstract: The authors analyse the effect of a generic continuous additive perturbation to the well-posedness of ordinary differential equations, where genericity is understood in the sense of prevalence. No assumptions on the statistical properties of the perturbation are made.The main result states that a generic continuous perturbation renders the Cauchy problem well-posed for arbitrarily irregular vector fields.