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math.PR2025
On conditional uniqueness of solutions to stochastic Navier-Stokes Equations
István Gyöngy, Nicolai V. Krylov
This paper is a continuation of [26]. Here theorems on conditional uniqueness and regularity for solutions to stochastic Navier-Stokes equations in are presented.
math.PR2024
Once again on evolution equations with monotone operators in Hilbert spaces and applications
István Gyöngy, Nicolai V. Krylov
Existence, uniqueness and stability of the solutions of linear stochastic evolution equations are investigated. The results obtained are used to prove theorems on solvability of li…
math.PR2021★ 1 cited
Existence of strong solutions for Itô's stochastic equations via approximations. Revisited
I. Gyöngy, N. V. Krylov
Given strong uniqueness for an Itô's stochastic equation, we prove that its solution can beconstructed on "any" probability space by using, for example, Euler's polygonal approxima…