84 citations · 987 across the 100 of their papers we have counts for
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Existence and Ergodicity for Nonlinear Fokker-Planck Equations for Probability Density Functions
Xing Huang, Michael Röckner, Feng-Yu Wang
For a class of nonlinear Fokker-Planck equations for probability densities, we construct distributional solutions by using an approximation scheme with nonlinear Neumann problems i…
Uniqueness for nonlinear Fokker-Planck equations with general diffusion terms and their associated nonlinear Markov processes
Viorel Barbu, Yuqi Li, Michael Röckner
This work is concerned with the uniqueness of distributional solutions to nonlinear Fokker-Planck equations with non-diagonal diffusion terms of type \begin{equation} u_{t}-\sum_{i…
Regularization of the superposition principle: Potential theory meets Fokker-Planck equations
Lucian Beznea, Iulian Cîmpean, Michael Röckner
For a solution to a (possibly nonlinear) Fokker-Planck equation (FPE) the powerful superposition principle renders a probability measure on path space with one dimensional time mar…
The stochastic evolution of an infinite population with logistic-type interaction
Yuri Kozitsky, Michael Röckner
An infinite population of point entities dwelling in the habitat $X=\mathds{R}^d$ is studied. Its members arrive in and depart from at random. The departure rate has a term cor…
SVI solutions to stochastic nonlinear diffusion equations on general measure spaces
Benjamin Gess, Michael Röckner, Weina Wu
We establish a framework for the existence and uniqueness of solutions to stochastic nonlinear (possibly multi-valued) diffusion equations driven by multiplicative noise, with the…
Cameron--Martin Type Theorem for a Class of non-Gaussian Measures
Mohamed Erraoui, Michael Röckner, José Luís da Silva
In this paper, we study the quasi-invariant property of a class of non-Gaussian measures. These measures are associated with the family of generalized grey Brownian motions. We ide…