3 papers
math.AP2025
Quantitative quasi-invariance of Gaussian measures below the energy level for the 1D generalized nonlinear Schrödinger equation and application to global well-posedness
Alexis Knezevitch
We consider the Schrödinger equation on the one dimensional torus with a general odd-power nonlinearity , which is known to be globally well-posed in the Sobolev space $…
math.AP2025
Qualitative quasi-invariance of low regularity Gaussian measures for the 1d quintic nonlinear Schrödinger equation
Alexis Knezevitch
We consider the 1d quintic nonlinear Schrödinger equation (NLS) on the torus with initial data distributed according to the Gaussian measures with covariance operator $(1-Î)^{-s}…
math.AP2024
Transport of low regularity Gaussian measures for the 1d quintic nonlinear Schrödinger equation
Alexis Knezevitch
We consider the 1d nonlinear Schrödinger equation (NLS) on the torus with initial data distributed according to the Gaussian measure with covariance operator , wher…