Markov uniqueness and Fokker-Planck-Kolmogorov equations
Analysis of PDEs
2021-09-21 v1
Abstract
In this paper we show that Markov uniqueness for symmetric pre-Dirichlet operators 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.
Keywords
Cite
@article{arxiv.2109.08883,
title = {Markov uniqueness and Fokker-Planck-Kolmogorov equations},
author = {Sergio Albeverion and Vladimir I. Bogachev and Michael Röckner},
journal= {arXiv preprint arXiv:2109.08883},
year = {2021}
}