7 citations · 7 across the 7 of their papers we have counts for
7 papers
Heat equation with singular drift which has bounded solution discontinuous at an interior point
N. V. Krylov
The goal of this paper is to present a one dimensional heat equation with a singular drift for which solutions of the Cauchy problem with smooth initial data are bounded and are di…
On the heat equation with singular drift
N. V. Krylov
We prove the maximum modulus estimates in terms of the -norm of the free term for solutions of the heat equation with Morrey drift for any satisfying and…
On a new proof of the key step in the proof of Brouwer's fixed point theorem
N. V. Krylov
We present a solution of Exercise 1.2.1 of [2] which yields a short new proof of a key step in one of proofs of Brouwer's fixed point theorem, 1910. A few people asked the author a…
Once again about weak uniqueness for SDE with singular coefficients
N. V. Krylov
We prove weak uniqueness for admissible solutions of Itô's equations with uniformly nondegenerate which is almost in VMO and in a Morrey class of functions with low integra…
Some properties of solutions of Itô equations with drift in
N. V. Krylov
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 nonde…
On time inhomogeneous stochastic Itô equations with drift in
N. V. Krylov
We prove the solvability of Itô stochastic equations with uniformly nondegenerate, bounded, measurable diffusion and drift in . Actually, the powers of s…
On diffusion processes with drift in
N. V. Krylov
We investigate properties of Markov quasi-diffusion processes corresponding to elliptic operators , acting on functions on , with measura…