2 citations · 3 across the 3 of their papers we have counts for
4 papers
Nonlinear Fokker-Planck equations with fractional Laplacian and McKean-Vlasov SDEs with Lévy-Noise
Viorel Barbu, Michael Röckner
This work is concerned with the existence of mild solutions to non-linear Fokker-Planck equations with fractional Laplace operator for . The un…
Zvonkin's transform and the regularity of solutions to double divergence form elliptic equations
Vladimir I. Bogachev, Michael Röckner, Stanislav V. Shaposhnikov
We study qualitative properties of solutions to double divergence form elliptic equations (or stationary Kolmogorov equations) on~. It is shown that the Harnack inequ…
Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs
Viorel Barbu, Michael Röckner
One proves the uniqueness of distributional solutions to nonlinear Fokker--Planck equations with monotone diffusion term and derive as a consequence (restricted) uniqueness in law…
Strong averaging principle for slow-fast stochastic partial differential equations with locally monotone coefficients
Wei Liu, Michael Röckner, Xiaobin Sun +1
This paper is devoted to proving the strong averaging principle for slow-fast stochastic partial differential equations with locally monotone coefficients, where the slow component…