On the transport of Gaussian measures under the one-dimensional fractional nonlinear Schrödinger equations

Forlano, Justin; Trenberth, William J.

doi:10.1016/j.anihpc.2019.07.006

Forlano, Justin ¹ ; Trenberth, William J.²

¹ Maxwell Institute for Mathematical Sciences, Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom
² Maxwell Institute for Mathematical Sciences, School of Mathematics, University of Edinburgh, Edinburgh EH9 3FD, United Kingdom

Annales de l'I.H.P. Analyse non linéaire, Tome 36 (2019) no. 7, pp. 1987-2025.

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Résumé

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.

DOI : 10.1016/j.anihpc.2019.07.006

Classification : 35Q55
Mots-clés : Fractional nonlinear Schrödinger equation, Quasi-invariance, Gaussian measure

Affiliations des auteurs :

Forlano, Justin ¹ ; Trenberth, William J. ²

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     title = {On the transport of {Gaussian} measures under the one-dimensional fractional nonlinear {Schr\"odinger} equations},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1987--2025},
     publisher = {Elsevier},
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     url = {http://www.numdam.org/articles/10.1016/j.anihpc.2019.07.006/}
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Forlano, Justin; Trenberth, William J. On the transport of Gaussian measures under the one-dimensional fractional nonlinear Schrödinger equations. Annales de l'I.H.P. Analyse non linéaire, Tome 36 (2019) no. 7, pp. 1987-2025. doi : 10.1016/j.anihpc.2019.07.006. http://www.numdam.org/articles/10.1016/j.anihpc.2019.07.006/

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