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On potentials of It^os processes with drift in $L_{d+1}$

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 نشر من قبل Nicolai Krylov
 تاريخ النشر 2021
  مجال البحث
والبحث باللغة English
 تأليف N.V. Krylov




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This paper is a natural continuation of cite{Kr_20_2}, 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 the probability to pass through narrow tubes, higher summability of Greens functions, and so on. The results seem to be new even if the diffusion is constant.



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