84 citations · 987 across the 100 of their papers we have counts for
11 papers · 1 filter
On the uniqueness of solutions to continuity equations
V. I. Bogachev, G. Da Prato, M. Röckner +1
We obtain sufficient conditions for the uniqueness of solutions to the Cauchy problem for the continuity equation in classes of measures that need not be absolutely continuous.
Stochastic nonlinear Schrödinger equations: no blow-up in the non-conservative case
Viorel Barbu, Michael Röckner, Deng Zhang
This paper is devoted to the study of noise effects on blow-up solutions to stochastic nonlinear Schrödinger equations. It is a continuation of our recent work \cite{BRZ14}, where…
Backward uniqueness of stochastic parabolic like equations driven by Gaussian multiplicative noise
V. Barbu, M. Röckner
One proves here the backward uniqueness of solutions to stochastic semilinear parabolic equations and also for the tamed Navier-Stokes equations driven by linearly multiplicative G…
Irreducible recurrence, ergodicity, and extremality of invariant measures for resolvents
Lucian Beznea, Iulian Cîmpean, Michael Röckner
We analyze the transience, recurrence, and irreducibility properties of general sub- Markovian resolvents of kernels and their duals, with respect to a fixed sub-invariant measure…
Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions
Michael Rockner, Rongchan Zhu, Xiangchan Zhu
In this paper, we present a general framework for solving stochastic functional differential equations in infinite dimensions in the sense of martingale solutions, which can be app…
Stochastic variational inequalities and regularity for degenerate stochastic partial differential equations
Benjamin Gess, Michael Röckner
The regularity and characterization of solutions to degenerate, quasilinear SPDE is studied. Our results are two-fold: First, we prove regularity results for solutions to certain d…