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arXiv · 2109.08883

Markov uniqueness and Fokker-Planck-Kolmogorov equations

Sergio Albeverion·Vladimir I. Bogachev·Michael Röckner
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Abstract

In this paper we show that Markov uniqueness for symmetric pre-Dirichlet operators $L$ follows from the uniqueness of the corresponding Fokker-Planck-Kolmogorov equation (FPKE). Since in recent years a considerable number of uniqueness results for FPKE's have been achieved, we obtain new Markov uniqueness results in concrete cases. A selection of such will be presented in this paper. They include cases with killing and with degenerate diffusion coefficients.

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Sergio Albeverion, Vladimir I. Bogachev, Michael Röckner. 2021-09-18. Markov uniqueness and Fokker-Planck-Kolmogorov equations. https://arxiv.org/abs/2109.08883

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