Svetlana Roudenko

Well-posedness of the focusing stochastic nonlinear Schrödinger equation: $$L^2$$-critical and supercritical cases

We study the focusing $$L^2$$ -critical and supercritical stochastic nonlinear Schrödinger equation subject to additive or multiplicative noise. We investigate global or long time behavior of solutions in $$H^1$$ , which would correspond to global well-posedness in the determinis...