9 citations · 24 across the 5 of their papers we have counts for
5 papers
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…
Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise
Viorel Barbu, Michael Röckner, Deng Zhang
Here is investigated the bilinear optimal control problem of quantum mechanical systems with final observation governed by a stochastic nonlinear Schrödinger equation perturbed by…
The stochastic logarithmic Schrödinger equation
Viorel Barbu, Michael Röckner, Deng Zhang
In this paper we prove global existence and uniqueness of solutions to the stochastic logarithmic Schrödinger equation with linear multiplicative noise. Our approach is mainly base…
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…
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…