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arXiv · 1812.06877

On the transport of Gaussian measures under the one-dimensional fractional nonlinear Schr\"odinger equations

Justin Forlano·William J. Trenberth
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Abstract

Under certain regularity conditions, we establish quasi-invariance of Gaussian measures on periodic functions under the flow of cubic fractional nonlinear Schr\"{o}dinger equations on the one-dimensional torus.

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Justin Forlano, William J. Trenberth. 2018-12-17. On the transport of Gaussian measures under the one-dimensional fractional nonlinear Schr\"odinger equations. https://doi.org/10.1016/j.anihpc.2019.07.006

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