A simple method for the existence of a density for stochastic evolutions with rough coefficients

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Abstract

We extend the validity of a simple method for the existence of a density for stochastic differential equations, first introduced in [15], by proving local estimates for the density, existence for the density with summable drift, and by improving the regularity of the density.

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Romito, M. (2018). A simple method for the existence of a density for stochastic evolutions with rough coefficients. Electronic Journal of Probability, 23. https://doi.org/10.1214/18-EJP242

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