74 citations · 81 across the 3 of their papers we have counts for
3 papers
math.PR2012★ 74 cited
On the stochastic Strichartz estimates and the stochastic nonlinear Schrödinger equation on a compact riemannian manifold
Zdzislaw Brzezniak, Annie Millet
We prove the existence and the uniqueness of a solution to the stochastic NSLE on a two-dimensional compact riemannian manifold. Thus we generalize a recent work by Burq, Gérard an…
math.PR2009★ 7 cited
Time irregularity of generalized Ornstein--Uhlenbeck processes
Z. Brzezniak, B. Goldys, P. Imkeller +3
The paper is concerned with the properties of solutions to linear evolution equation perturbed by cylindrical Lévy processes. It turns out that solutions, under rather weak require…
quant-ph2000
Quantum propagators in a random metric
Z. Brzezniak, Z. Haba
We consider second order differential operators with coefficients which are Gaussian random fields. When the covariance becomes singular at short distances then the propagators of…