18 citations · 145 across the 43 of their papers we have counts for
45 papers
Diffusion processes with
N. V. Krylov
We present some conditions in case sufficient to guarantee the existence of a strong Markov diffusion process with drift and uniformly nondegenerate…
Aleksandrov's estimates for elliptic equations with drift in Morrey spaces containing
Hongjie Dong, N. V. Krylov
In this note, we obtain a version of Aleksandrov's maximum principle when the drift coefficients are in Morrey spaces, which contains , and when the free term is in for…
On diffusion processes with drift in a Morrey class containing
N. V. Krylov
We present new conditions on the drift of the Morrey type with mixed norms allowing us to obtain Aleksandrov type estimates of potentials of time inhomogeneous diffusion processes…
On the heat equation with drift in
N. V. Krylov
In this paper we deal with the heat equation with drift in . Basically, we prove that, if the free term is in with high enough , then the equation is uniquely s…
On potentials of Itô's processes with drift in
N. V. Krylov
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 unif…
On strong solutions of Itô's equations with a and b
N. V. Krylov
We consider Itô uniformly nondegenerate equations with time independent coefficients, the diffusion coefficient in , and the drift in . We prove the unique st…