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Publications

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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
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Brzezniak Z, Carroll A.  2003.  Approximations of the Wong-Zakai type for stochastic differential equations in M-type 2 Banach spaces with applications to loop spaces. Séminaire de Probabilités XXXVII, Lecture Notes in Math.. 1832:251-289. Abstract
Brzezniak Z, Li Y.  2004.  Asymptotic behaviour of solutions to the 2D stochastic Navier-Stokes equations in unbounded domains. RECENT DEVELOPMENTS IN STOCHASTIC ANALYSIS AND RELATED TOPICS Proceedings of the First Sino-German C.
Brzezniak Z, Li Y.  2006.  Asymptotic compactness and absorbing sets for 2D stochastic Navier-Stokes equations on some unbounded domains. Trans. AMS. 358 (12):5587-5629. Abstract
Banas L, Brzezniak Z, Ondreját M, Prohl A.  2011.  Attractivity, invariance and ergodicity for SDEs on Riemannian manifolds.
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Brzezniak Z, Neklyudov M.  2009.  Backward Uniqueness and the existence of the spectral limit for some parabolic SPDEs.
Brzezniak Z, van Neerven J.  2001.  Banach space valued Ornstein-Uhlenbeck processes indexed by the circle. Evolution equations and their applications in physical and life sciences, Proceedings of Internatio. 215:435--452.
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Brzezniak Z, Jefferies B.  2001.  Characterizations of all boundary conditions for the one dimensional laplace operator corresponding to point interactions. J. Phys. A. 34:2977--2983.
Li Y, Brzezniak Z, Zhou J.  2008.  Conceptual analysis and random attractor for disspipative random dynamical systems. Acta Mathematica Scientia. 28(2):253-268. Abstract
Brzezniak Z, Peszat S, Zabczyk J.  2001.  Continuity of stochastic convolutions. Czechoslovak Mathematical Journal (a special issue devoted to Ivo Vrkoc). 51 (126):679--684.
Banas L, Brzezniak Z, Prohl A.  2009.  Convergent finite element discretization of the stochastic Landau-Lifshitz-Gilbert equation. Eberhard Karls Universität Tübingen Preprints.
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Brzezniak Z, Neklyudov M.  2009.  Duality, vector advection and the Navier-Stokes equations. Dynamics of Partial Differential Equations. 6(1):53-93. Abstract
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Debbi L, Goldys B, Brzezniak Z.  2011.  Ergodic Properties of Fractional Stochastic Burgers Equation. Global and Stochastic Analysis. 1:145–174.
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
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Brzezniak Z, Léandre R.  2006.  Fellerian pants. C. R. Math. Acad. Sci. Paris. 343:333--338. Abstract
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Brzezniak Z, Gubinelli M, Neklyudov M.  2012.  Global evolution of random vortex filament equation.
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Brzezniak Z, Peszat S.  2010.  Hyperbolic Equations with Random Boundary Conditions. Recent development in Stochastic Dynamics and Stochastic Analysis. 8:1-21.
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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, Veraar M.  2012.  Is the stochastic parabolicity condition dependent on $p$ and $q$? }
Brzezniak Z, van Neerven J, Veraar MC, Weis L.  2008.  Itô's formula in UMD Banach spaces and regularity of solutions of the Zakai equation . Journal of Differential Equations. 245(1):30-58. Abstract
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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, 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, Goldys B, van Neerven J.  2003.  Mean square continuity of Ornstein-Uhlenbeck processes in Banach spaces. Proceedings of the Seventh International Conference ``Evolution Equations 2000: Applications to Phys. 55:95-100.
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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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