activity
20052023
most citedElliptic differential equations with measurable coefficients

4 citations · 8 across the 15 of their papers we have counts for

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8 papers · 1 filter

math.PR2023

Once again on weak solutions of time inhomogeneous Itô's equations with VMO diffusion and Morrey drift

N. V. Krylov

We prove the existence and weak uniqueness of weak solutions of Itô's stochastic time dependent equations with irregular diffusion and drift terms of Morrey class with mixed norms.

math.PR2023

On nondegenerate Itô processes with moderated drift

N. V. Krylov

In this paper we present an approach to proving parabolic Aleksandrov estimates with mixed norms for stochastic integrals with singular ``moderated'' drift.

math.PR2023

On weak and strong solutions of time inhomogeneous Itô's equations with VMO diffusion and Morrey drift

N. V. Krylov

We prove the existence of weak solutions of Itô's stochastic time dependent equations with irregular diffusion and drift terms of Morrey spaces. Weak uniqueness (generally conditio…

math.PR2022

On strong solutions of time inhomogeneous Itô's equations with Morrey diffusion gradient and drift. A supercritical case

N. V. Krylov

We prove the existence of strong solutions of Itô's stochastic time dependent equations with irregular diffusion and drift terms of Morrey spaces. Strong uniqueness is also discuss…

math.PR2022

Remarks on the post of Röckner and Zhao about strong solutions of stochastic equations with critical singularities at arXiv:2103.05803v4

N. V. Krylov

We discuss various relations between part of the results in arXiv:2103.05803v4 and recent author's results.

math.PR2022

On strong solutions of time inhomogeneous Itô's equations with "supercritical" diffusion and drift

N. V. Krylov

We prove strong existence and uniqueness of solutions of Itô's stochastic time dependent equations with irregular diffusion and drift terms of Morrey class type. In a sense we are…