3 papers
math.AP2026
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…
math.CA2025
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…
math.PR2024
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 integr…