7 citations · 10 across the 3 of their papers we have counts for
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math.PR2011★ 3 cited
Ergodic properties of Fractional Stochastic Burgers Equation
Zdzisław Brzeźniak, Latifa Debbi, Ben Goldys
We prove the existence and uniqueness of invariant measures for the fractional stochastic Burgers equation (FSBE) driven by fractional power of the Laplacian and space-time white n…
math.PR2010★ 7 cited
Stochastic nonlinear beam equations driven by compensated Poisson random measures
Zdzisław Brzeźniak, Jiahui Zhu
We consider a type of stochastic nonlinear beam equation driven by Lévy noise. By using a suitable Lyapunov function and applying the Khasminskii test we show the nonexplosion of t…
math.PR2007
Maximal regularity for stochastic convolutions driven by Levy noise
Zdzislaw Brzeźniak, Erika Hausenblas
We show that the result from Da Prato and Lunardi is valid for stochastic convolutions driven by Lévy processes.