On the transport of Gaussian measures under the one-dimensional fractional nonlinear Schrödinger equations
Justin Forlano
Maxwell Institute for Mathematical Sciences, Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, United KingdomWilliam J. Trenberth
Maxwell Institute for Mathematical Sciences, School of Mathematics, University of Edinburgh, Edinburgh EH9 3FD, United Kingdom
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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 Schrödinger equations on the one-dimensional torus.
Cite this article
Justin Forlano, William J. Trenberth, On the transport of Gaussian measures under the one-dimensional fractional nonlinear Schrödinger equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 36 (2019), no. 7, pp. 1987–2025
DOI 10.1016/J.ANIHPC.2019.07.006