187 citations · 462 across the 62 of their papers we have counts for
65 papers
Probabilistic representation of solutions to the parabolic -Laplace equation
Viorel Barbu, Michael Röckner
This work is concerned with the probabilistic representation of solutions to the -Laplace evolution equation …
Sharp Non-uniqueness in Law for Stochastic Differential Equations on the Whole Space
Huaxiang Lü, Michael Röckner
In this paper, we investigate the stochastic differential equation on : \begin{align*} \dif X_t&=v(t,X_t)\dif t+\sqrt{2} \dif W_t. \end{align*} For any finite…
The Leibenson process
Viorel Barbu, Sebastian Grube, Marco Rehmeier +1
Consider the Leibenson equation \begin{equation*} \partial_t u = Δ_p u^q, \end{equation*} where for and , which is a simultaneous…
Stochastic intrinsic gradient flows on the Wasserstein space
Panpan Ren, Michael Röckner, Feng-Yu Wang +1
We construct stochastic gradient flows on the -Wasserstein space over for energy functionals of the type .…
Non-uniqueness of (Stochastic) Lagrangian Trajectories for Euler Equations
Huaxiang Lü, Michael Röckner, Xiangchan Zhu
We are concerned with the (stochastic) Lagrangian trajectories associated with Euler or Navier-Stokes equations. First, in the vanishing viscosity limit, we establish sharp non-uni…
Nonlinear Fokker-Planck equations as smooth Hilbertian gradient flows
Viorel Barbu, Michael Röckner
Under suitable assumptions on and , the nonlinear Fokker-Planck equation $u_t-…