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On Stochastic Differential Equations with Locally Unbounded Drift
Authors:Istvan Gyongy  Teresa Martinez
Affiliation:(1) Department of Mathematics and Statistics, University of Edinburgh, King's Buildings, Edinburgh, EH9 3JZ, United Kingdom;(2) Departamento de Matematicas, Universidad Autonoma de Madrid, Campus de Cantoblanco, 28049 Madrid, Spain
Abstract:We study the regularizing effect of the noise on differential equations with irregular coefficients. We present existence and uniqueness theorems for stochastic differential equations with locally unbounded drift.
Keywords:stochastic differential equations  Krylov's estimate
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