Kolmogorov equations for measures

Luigi Manca

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Kolmogorov equations for measures

Luigi Manca

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Abstract

We consider a semigroup of operators in the Banach space $C_b(H)$ of uniformly continuous and bounded functions on a separable Hilbert space $H$. In particular, we deal with semigroups that are related to solution of stochastic PDEs in $H$ and which are not, in general, strongly continuous. We prove an existence and uniqueness result for a measure valued equation involving this class of semigroups. Then we apply the result to a large class of second order differential operators in $C_b(H)$.

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Luigi Manca. 2007-03-22. Kolmogorov equations for measures. https://arxiv.org/abs/math/0703654

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