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math.AP2026
The Schrödinger equation with fluctuating nonlinearity in the energy space
Max Sauerbrey, Joris van Winden
We study nonlinear Schrödinger equations with nonlinear Stratonovich noise \begin{equation*} \mathrm{d} u\,=\, i\bigl[ Δu \,+\, λ|u|^{p-1}u\bigr] \, \mathrm{d} t \,+\,i|u|^{(q-1)/2…
math.AP2022
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 for any of a parametrically forced nonlinear Schrödinger equation (PFNLS) in one dimension driven by multiplicative S…