63 citations · 244 across the 55 of their papers we have counts for
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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…
A stochastic Fokker-Planck equation and double probabilistic representation for the stochastic porous media type equation
Viorel Barbu, Michael Röckner, Francesco Russo
The purpose of the present paper consists in proposing and discussing a double probabilistic representation for a porous media equation in the whole space perturbed by a multiplica…
Stochastic nonlinear Schrödinger equations
Viorel Barbu, Michael Röckner, Deng Zhang
This paper is devoted to the well-posedness of stochastic nonlinear Schrödinger equations in the energy space H1(Rd), which is a natural continuation of our recent work [1]. We con…
An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise
Viorel Barbu, Michael Röckner
In this paper, we develop a new general approach to the existence and uniqueness theory of infinite dimensional stochastic equations of the form dX+A(t)Xdt = XdW in (0;T)xH, where…