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Markov semi-groups generated by elliptic operators with divergence-free drift

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In this paper we construct a conservative Markov semi-group with generator $L=\Delta+b\cdot\nabla$ on $\mathbb{R}^n$, where $b$ is a divergence-free vector field which belongs to $L^{2}\cap L^{p}$ with $p Click to show full abstract

In this paper we construct a conservative Markov semi-group with generator $L=\Delta+b\cdot\nabla$ on $\mathbb{R}^n$, where $b$ is a divergence-free vector field which belongs to $L^{2}\cap L^{p}$ with $p

Keywords: semi groups; groups generated; divergence free; generated elliptic; markov semi; elliptic operators

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021

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