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arXiv · 1709.08598

On the theory of the Kolmogorov operator in the spaces $L^p$ and $C_\infty.$ I

D. Kinzebulatov·Yu. A. Semenov
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Abstract

We obtain the basic results concerning the problem of constructing operator realizations of the formal differential expression $\nabla \cdot a \cdot \nabla - b \cdot \nabla$ with measurable matrix $a$ and vector field $b$ having critical-order singularities as the generators of Markov semigroups in $L^p$ and $C_\infty$.

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D. Kinzebulatov, Yu. A. Semenov. 2017-09-25. On the theory of the Kolmogorov operator in the spaces $L^p$ and $C_\infty.$ I. https://arxiv.org/abs/1709.08598

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