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

Justin Forlano; William J. Trenberth

doi:10.1016/j.anihpc.2019.07.006

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

Justin Forlano^*, William J. Trenberth

^*Corresponding author for this work

School of Mathematical & Computer Sciences

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

13 Downloads (Pure)

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.

Original language	English
Pages (from-to)	1987-2025
Number of pages	39
Journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	36
Issue number	7
Early online date	2 Sept 2019
DOIs	https://doi.org/10.1016/j.anihpc.2019.07.006
Publication status	Published - 1 Nov 2019

Keywords

Fractional nonlinear Schrödinger equation
Gaussian measure
Quasi-invariance

ASJC Scopus subject areas

Analysis
Mathematical Physics
Applied Mathematics

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title = "On the transport of Gaussian measures under the one-dimensional fractional nonlinear Schr{\"o}dinger equations",

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.",

keywords = "Fractional nonlinear Schr{\"o}dinger equation, Gaussian measure, Quasi-invariance",

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T1 - On the transport of Gaussian measures under the one-dimensional fractional nonlinear Schrödinger equations

AU - Forlano, Justin

AU - Trenberth, William J.

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N2 - 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.

AB - 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.

KW - Fractional nonlinear Schrödinger equation

KW - Gaussian measure

KW - Quasi-invariance

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U2 - 10.1016/j.anihpc.2019.07.006

DO - 10.1016/j.anihpc.2019.07.006

M3 - Article

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SN - 0294-1449

VL - 36

SP - 1987

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JO - Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire

JF - Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire

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ER -

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

Abstract

Keywords

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