Well-posedness of a parametrically forced nonlinear Schrödinger equation driven by translation-invariant noise

Manuel V. Gnann, Rik W. S. Westdorp, Joris van Winden

We prove well-posedness in $H^{\sigma }(\mathbb{R})$ for any $\sigma \in [0,\infty )$ of a parametrically forced nonlinear Schrödinger equation (PFNLS) in one dimension driven by multiplicative S…