Project Details
Pathwise numerics and dynamics of stochastic evolution equations
Subject Area
Mathematics
Term
from 2006 to 2011
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 29324846
Final Report Year
2011
Final Report Abstract
No abstract available
Publications
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Qualitative behavior of a class of stochastic parabolic PDEs with dynamical boundary conditions. Discrete and Continuous Dynamical Systems - Series A, Vol. 18. 2007, Issue 2/3, pp. 315-338.
I. Chueshov and B. Schmalfuß
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Random dynamics of the Boussinesq System with dynamical boundary conditions. Stochastic Analysis and Applications, Volume 27. 2009, Issue 5, pp. 1096-1116.
P. Brune, J. Duan, and B. Schmalfuß
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Global attractor for a non-autonomous integro-differential equation in materials with memory. Nonlinear Analysis: Theory, Methods & Applications, Vol. 73. 2010, Issue 1, pp. 183–201.
T. Caraballo, M.J. Garrido-Atienza, B. Schmalfuß and J. Valero.
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Random attractors for stochastic equations driven by a fractional Brownian motion. International Journal of Bifurcation and Chaos, Vol. 20. 2010, Issue 09, pp. 2761-2782.
M.J. Garrido-Atienza, B. Maslowski, and B. Schmalfuß
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Random dynamical systems for stochastic partial dierential equations driven by a fractional brownian motion. Discrete and Continuous Dynamical Systems, Series B, Vol. 14. 2010, Issue 2, pp. 473 - 493.
Garrido-Atienza, K. Lu, and B. Schmalfuß
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Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion. Journal of Differential Equations, Vol. 248. 2010, Issue 7, pp. 1637–1667.
Garrido-Atienza, K. Lu, and B. Schmalfuß
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Ergodicity of the Infinite Dimensional Fractional Brownian Motion. J. Dynam. Dierential Equations, 2011. Accepted.
Journal of Dynamics and Differential Equations, Vol. 23. 2011, Issue 3, pp 671-681.
M.J. Garrido-Atienza and B. Schmalfuß
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Inertial manifolds for stochastic pde with dynamical Boundary conditions. Communications on Pure and Applied Analysis, Vol. 10. 2011, Issue 3, pp. 831-846.
P. Brune and B. Schmalfuß
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Random differential equations with random delays. Stochastics and Dynamics, Vol. 11. 2011, Issue 2, pp. 369-388.
M.J. Garrido-Atienza, A. Ogrowsky, and B. Schmalfuß