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BiBoS Preprints 2019

• 19-12-564, V. Barbu, M. Röckner and D. Zhang (PDF)
  Optimal control of nonlinear stochastic differential equations on Hilbert spaces
  2019 Communicated by Y.G. Kondratiev
  Published in: SIAM J. Cont. Opt. 58 (2020), no. 4, 2383–2410.
  
• 19-12-563, Y. Kozitsky and M. Röckner (PDF)
  A Markov process for an infinite interacting particle system in the continuum
  2019 Communicated by Ph. Blanchard
  To appear in: Electronic Journal of Probability
  
• 19-10-562, M. Röckner, L. Xie and X. Zhang (PDF)
  Superposition principle for non-local Fokker-Planck-Kolmogorov operators
  2019 Communicated by Y.G. Kondratiev
  Published in: Prob. Th. Rel. Fields 178 (2020), no. 3-4, 699–733.
  
• 19-09-561, M. Röckner, X. Sun and Y. Xie (PDF)
  Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations
  2019 Communicated by Y.G. Kondratiev
  Published in: Ann. Inst. Henri Poincaré 57 (2021), no. 1, 547-576.
  
• 19-09-560, M. Röckner and L. Xie (PDF)
  Diffusion approximation for fully coupled stochastic differential equations
  2019 Communicated by Y.G. Kondratiev
  Published in: Ann. Prob. 49 (2021), no. 3, 1205-1236.
  
• 19-09-559, V. Barbu and M. Röckner (PDF)
  Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs
  2019 Communicated by Y.G. Kondratiev
  To appear in: Stoch. PDE: Anal. Comp.
  
• 19-08-558, W. Liu, M. Röckner and J. L. da Silva (PDF)
  Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations
  2019 Communicated by Y.G. Kondratiev
  To appear in: Journal of Functional Analysis
  
• 19-07-557, M. Röckner, X. Sun and L. Xie (PDF)
  Strong and weak convergence in the averaging principle for SDEs with Hölder coefficients
  2019 Communicated by
  
• 19-07-556, A. Lunardi and M. Röckner (PDF)
  Schauder theorems for a class of (pseudo-)differential operators on finite and infinite dimensional state spaces
  2019 Communicated by Y.G. Kondratiev
  To appear in: J. London Math. Soc.
  
• 19-07-555, S.-Y. Ha, J. Jung and M. Röckner (PDF)
  Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communications
  2019 Communicated by Y.G. Kondratiev
  Published in: J. Diff. Equations 284 (2021), 39-82.
  
• 19-07-554, L. Banas, M. Röckner and A. Wilke (PDF)
  Convergent numerical approximation of the stochastic total variation flow
  2019 Communicated by Y.G. Kondratiev
  Published in: Stoch. PDE: Quad. Mat. 9 (2021), no. 2, 437-471.
  
• 19-06-553, M. Nendel and M. Röckner (PDF)
  Upper envelopes of families of Feller semigroups and viscosity solutions to a class of nonlinear Cauchy problems
  2019 Communicated by Y.G. Kondratiev
  Published in: SIAM J. Control Optim. 59 (2021), no. 6, 4400–4428.
  
• 19-06-552, W. Liu, M. Röckner, X. Sun and Y. Xie (PDF)
  Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients
  2019 Communicated by Y.G. Kondratiev
  Published in: J. Diff. Equations 268(6), 2910-2948
  
• 19-05-551, V. Bogachev, M. Röckner and S. Shaposhnikov (PDF)
  On convergence to stationary distributions for solutions of nonlinear Fokker-Planck-Kolmogorov equations
  2019 Communicated by Y.G. Kondratiev
  Published in: J. Math. Sci. (1) 242 (2019), 69-84.
  
• 19-05-550, P. Ren, M. Röckner and F.-Y. Wang (PDF)
  Linearization of nonlinear Fokker-Planck equations and applications
  2019 Communicated by Y.G. Kondratiev
  Published in: Journal of Differential Equations 322 (2022), 1–37
  
• 19-05-549, W. Liu, M. Röckner, X. Sun and Y. Xie (PDF)
  Strong averaging principle for slow-fast stochastic partial differential equations with locally monotone coefficients
  2019 Communicated by Y.G. Kondratiev
  To appear in: Applied Mathematics and Optimization
  
• 19-05-548, S. Federico, G. Ferrari, F. Riedel and M. Röckner (PDF)
  On a class of infinite-dimensional singular stochastic control problems
  2019 Communicated by Y.G. Kondratiev
  Published in: SIAM J. Control Optim. 59 (2021), no. 2, 1680–1704.
  
• 19-04-547, I. Munteanu and M. Röckner (PDF)
  Global solutions for random vorticity equations perturbed by gradient dependent noise, in two and three dimensions
  2019 Communicated by Y.G. Kondratiev
  To appear in: Journal of Evolution Equations
  
• 19-04-546, V. Barbu and M. Röckner (PDF)
  The evolution to equilibrium of solutions to nonlinear Fokker-Planck equation
  2019 Communicated by Y.G. Kondratiev
  
• 19-03-545, V. Bogachev, M. Röckner and S. Shaposhnikov (PDF)
  On the Ambrosio–Figalli–Trevisan superposition principle for probability solutions to Fokker–Planck–Kolmogorov equations
  2019 Communicated by Y.G. Kondratiev
  Published in: Journal of Dynamics and Differential Equations
  
• 19-03-544, L. Beznea, I. Cimpean and M. Röckner (PDF)
  A natural extension of Markov processes and applications to singular SDEs
  2019 Communicated by Y.G. Kondratiev
  Published in: Ann. Inst. Henri Poincaré Probab. Stat. 56 (2020), no. 4, 2480–2506.