On the transport of Gaussian measures under the one-dimensional fractional nonlinear Schrödinger equations
arXiv:1812.06877 · doi:10.1016/j.anihpc.2019.07.006
Abstract
Under certain regularity conditions, we establish quasi-invariance of Gaussian measures on periodic functions under the flow of cubic fractional nonlinear Schrödinger equations on the one-dimensional torus.
42 pages; typos corrected, added Remark 1.8. To appear in Ann. Inst. H. Poincaré Anal. Non Linéaire