Quasi-invariance of Gaussian measures of negative regularity for fractional nonlinear Schrödinger equations

2022/05/23 by Forlano, Justin, Tolomeo, Leonardo · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2205.11453

Abstract

We consider the Cauchy problem for the fractional nonlinear Schrödinger equation (FNLS) on the one-dimensional torus with cubic nonlinearity and high dispersion parameter α> 1, subject to a Gaussian random initial data of negative Sobolev regularity σ

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