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Research Article | Open Access

On nonlinear Schrödinger equations with random initial data

Laboratoire de Mathématiques d'Orsay, CNRS, Université Paris-Saclay, 91400 Orsay, France
Département de Mathématique, Université Libre de Bruxelles, 1050 Brussels, Belgium
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Abstract

This note is concerned with the global well-posedness of nonlinear Schrödinger equations in the continuum with spatially homogeneous random initial data.

Keywords

NLS equationsrandom initial datarandom fieldsstatistical spatial homogeneityglobal well-posedness

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Mathematics in Engineering
Volume 4 Issue 4,
August 2022
Pages 1-14
DOI: 10.3934/mine.2022030

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Duerinckx M. On nonlinear Schrödinger equations with random initial data. Mathematics in Engineering, 2022, 4(4): 1-14. https://doi.org/10.3934/mine.2022030

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Received: 31 July 2021
Accepted: 05 August 2021
Published: 15 August 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)