On Diffusion Processes with Drift in Ld+1

被引：1

作者：

Krylov, N., V ^{[1
]}

机构：

[1] Univ Minnesota, 127 Vincent Hall, Minneapolis, MN 55455 USA

来源：

POTENTIAL ANALYSIS | 2023年 / 59卷 / 03期

关键词：

Ito's equations with singular drift; Markov diffusion processes; Harnack inequality; EQUATIONS;

D O I：

10.1007/s11118-022-09988-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is a natural continuation of Krylov (2020 and 2021) 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)(Rd+1) and some properties of their Green's functions and probability of passing through narrow tubes are investigated. On the basis of this here we study some further properties of these processes such as Harnack inequality, Holder continuity of potentials, Fanghua Lin estimates and so on.

引用

页码：1013 / 1037

页数：25

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