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Some properties of solutions of Itô equations with drift in $L_{d+1}$
N. V. Krylov · 2020-11-10 · via math.PR updates on arXiv.org

This paper is a natural continuation of [8], where strong Markov processes are constructed in time inhomogeneous setting with Borel measurable uniformly bounded and uniformly nondegenerate diffusion and drift in $L_{d+1}(\mathbb{R}^{d+1})$. Here we study some properties of these processes such as higher summability of Green's functions, boundedness of resolvent operators in Lebesgue spaces, establish Itô's formula, and so on.

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