9 citations · 10 across the 8 of their papers we have counts for
8 papers
Construction of Hunt processes by the Lyapunov method and applications to generalized Mehler semigroups
Lucian Beznea, Iulian Cîmpean, Michael Röckner
In this paper we deal with the problem of characterizing those generalized Mehler semigroups that do correspond to càdlàg Markov processes, which is highly non-trivial and has rema…
On the restriction of a right process outside a negligible set
Liping Li, Michael Röckner
The objective of this paper is to examine the restriction of a right process on a Radon topological space, excluding a negligible set, and investigate whether the restricted object…
Correction to: Convergent numerical approximation of the stochastic total variation flow
Ľubomír Baňas, Michael Röckner, André Wilke
We correct two errors in our paper [4]. First error concerns the definition of the SVI solution, where a boundary term which arises due to the Dirichlet boundary condition, was not…
Convergent numerical approximation of the stochastic total variation flow with linear multiplicative noise: the higher dimensional case
Ľubomír Baňas, Michael Röckner, André Wilke
We consider fully discrete finite element approximation of the stochastic total variation flow equation (STVF) with linear multiplicative noise which was previously proposed in \ci…
Recent progress on multi-bubble blow-ups and multi-solitons to (stochastic) focusing nonlinear Schrödinger equations
Viorel Barbu, Michael Röckner, Deng Zhang
We review the recent progress on the long-time behavior for a general class of focusing -critical nonlinear Schrödinger equations (NLS) with lower order perturbations. Two can…
Probabilistic representation for solutions to nonlinear Fokker-Planck equations
Viorel Barbu, Michael Röckner
One obtains a probabilistic representation for the entropic generalized solutions to a nonlinear Fokker-Planck equation in with multivalued nonlinear diffusion term a…