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math.AP2018★ 20 cited
On the transport of Gaussian measures under the one-dimensional fractional nonlinear Schrödinger equations
Justin Forlano, William J. Trenberth
Under certain regularity conditions, we establish quasi-invariance of Gaussian measures on periodic functions under the flow of cubic fractional nonlinear Schrödinger equations on…
math.AP2018★ 5 cited
Stochastic nonlinear Schrödinger equation with almost space-time white noise
Justin Forlano, Tadahiro Oh, Yuzhao Wang
We study the stochastic cubic nonlinear Schrödinger equation (SNLS) with an additive noise on the one-dimensional torus. In particular, we prove local well-posedness of the (renorm…