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arXiv · 1612.06280

The stochastic value function on metric measure spaces

Ugo Bessi
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Abstract

Let $(S,d)$ be a compact metric space and let $m$ be a Borel probability measure on $(S,d)$. We shall prove that, if $(S,d,m)$ is a $RCD(K,\infty)$ space, then the stochastic value function satisfies the viscous Hamilton-Jacobi equation, exactly as in Fleming's theorem on ${\bf R}^d$.

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Ugo Bessi. 2016-12-16. The stochastic value function on metric measure spaces. https://arxiv.org/abs/1612.06280

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