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Publications

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In Press
Brzezniak Z, Goldys B, Ondrejat M.  In Press.  Stochastic Geometric PDEs. New Trends in Stochastic Analysis and Related Topics: A Volume in Honour of Professor K. D. Elworthy. :32.
Brzezniak Z, Ondreját M.  In Press.  Stochastic geometric wave equations with values in compact Riemannian homogeneous spaces. Ann. Prob. .
2012
Brzezniak Z, Goldys B, Jegaraj T.  2012.  Weak Solutions of the Stochastic Landau-Lifshitz-Gilbert Equation. Applied Mathematics Research eXpress.
Brzezniak Z, Gubinelli M, Neklyudov M.  2012.  Global evolution of random vortex filament equation.
Brzezniak Z, Veraar M.  2012.  Is the stochastic parabolicity condition dependent on $p$ and $q$? }
Brzezniak Z, Millet A.  2012.  On the splitting method for some complex-valued quasilinear equations.
Brzezniak Z, Hausenblas E.  2012.  Uniqueness in Law of the stochastic convolution driven by L\'evy noise. Electronic J. Prob. .
2011
Brzezniak Z, Ondreját M.  2011.  Weak solutions to stochastic wave equations with values in Riemannian manifolds. Communications in Partial Differential Equations . :41.
Banas L, Brzezniak Z, Ondreját M, Prohl A.  2011.  Attractivity, invariance and ergodicity for SDEs on Riemannian manifolds.
Brzezniak Z, Caraballo T, Langa J, Li Y, \L ukaszewicz G, Real J.  2011.  Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains.
Debbi L, Goldys B, Brzezniak Z.  2011.  Ergodic Properties of Fractional Stochastic Burgers Equation. Global and Stochastic Analysis. 1:145–174.
2010
Brzezniak Z, Serrano R.  2010.  Optimal relaxed control of dissipative stochastic partial differential equations in Banach spaces. :36. Abstract
Brzezniak Z, Albeverio S, Wu J-L.  2010.  Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients. Journal of Mathematical Analysis and Applications. 371(1):309-322. Abstract
Brzezniak Z, Long H, Simão I.  2010.  Invariant measures for stochastic evolution equations in M-type 2 Banach spaces. Journal of Evolution Equations. 10(4):785-810. Abstract
Brzezniak Z, Goldys B, Imkeller P, Peszat S, Priola E, Zabczyk J.  2010.  Time irregularity of generalized Ornstein–Uhlenbeck processes. Comptes Rendus Mathematique. 348(5-6):273-276. Abstract
Brzezniak Z, Zabczyk J.  2010.  Regularity of Ornstein–Uhlenbeck Processes Driven by a Lévy White Noise. Potential Analysis. 32(2):153-188. Abstract
Brzezniak Z, Peszat S.  2010.  Hyperbolic Equations with Random Boundary Conditions. Recent development in Stochastic Dynamics and Stochastic Analysis. 8:1-21.
Brzezniak Z, Hausenblas E.  2010.  Martingale solutions for Stochastic Equation of Reaction Diffusion Type driven by L\'evy noise or Poisson random measure.
Brzezniak Z, Hausenblas E, Zhu J.  2010.  Maximal inequality of Stochastic convolution driven by Poisson random measure on Banach spaces.
Brzezniak Z, Zhu J.  2010.  Stochastic nonlinear beam equations driven by compensated Poisson random measures.
2009
Banas L, Brzezniak Z, Prohl A.  2009.  Convergent finite element discretization of the stochastic Landau-Lifshitz-Gilbert equation. Eberhard Karls Universität Tübingen Preprints.
Brzezniak Z, Hausenblas E.  2009.  Maximal regularity for stochastic convolutions driven by Lévy processes. Probability Theory and Related Fields. 145(3-4):615-637. Abstract
Brzezniak Z, Ferrario B.  2009.  2D Navier–Stokes equation in Besov spaces of negative order. Nonlinear Analysis: Theory, Methods & Applications. 70(1):3902-3916. Abstract
Brzezniak Z, Neklyudov M.  2009.  Duality, vector advection and the Navier-Stokes equations. Dynamics of Partial Differential Equations. 6(1):53-93. Abstract
Brzezniak Z, Dawidowicz AL.  2009.  On periodic solutions to the von Foerster-Lasota equation. Semigroup forum. 78(1):118-137. Abstract

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