24 citations · 26 across the 4 of their papers we have counts for
4 papers
Weak Solutions of the Stochastic Landau-Lifshitz-Gilbert Equation
Z. Brzezniak, B. Goldys
The Landau-Lifshitz-Gilbert equation perturbed by a multiplicative space-dependent noise is considered for a ferromagnet filling a bounded three-dimensional domain. We show the exi…
Backward Uniqueness and the existence of the spectral limit for some parabolic SPDEs
Z. Brzeźniak, M. Neklyudov
The aim of this article is to study the asymptotic behaviour for large times of solutions to a certain class of stochastic partial differential equations of parabolic type. In part…
Ito's formula in UMD Banach spaces and regularity of solutions of the Zakai equation
Z. Brzezniak, J. M. A. M. van Neerven, M. C. Veraar +1
Using the theory of stochastic integration for processes with values in a UMD Banach space developed recently by the authors, an Ito formula is proved which is applied to prove the…
2D Navier-Stokes equation in Besov spaces of negative order
Z. Brzezniak, B. Ferrario
The Navier--Stokes equation in the bidimensional torus is considered, with initial velocity and forcing term in suitable Besov spaces. Results of local existence and uniqueness are…