74 citations · 81 across the 3 of their papers we have counts for
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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…