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Showing 2007 · math.PRShow all
3 papers · 2 filters
math.PR2007★ 7 cited
Differential equations driven by rough paths: an approach via discrete approximation
A. M. Davie
A theory of differential equations driven by a non-differentiable path has recently been developed by Lyons. We develop an alternative approach to this theory, using (modified Eule…
math.PR2007★ 6 cited
Uniqueness of solutions of stochastic differential equations
A. M. Davie
We consider a d-dimensional stochastic differential equation with additive noise and a drift coefficient which is assumed only to be a bounded Borel function. We show that, for alm…
math.PR2007★ 59 cited
Rate of Convergence of Space Time Approximations for stochastic evolution equations
Istvan Gyöngy, Annie Millet
Stochastic evolution equations in Banach spaces with unbounded nonlinear drift and diffusion operators driven by a finite dimensional Brownian motion are considered. Under some reg…