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arXiv · 2303.06964

Evolution of Gaussian measures and application to the one dimensional nonlinear Schr{\"o}dinger equation

Laurent Thomann·Nicolas Burq
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Abstract

In this note, we give an overview of some results obtained in [3]. This latter work is devoted to the study of the one-dimensional nonlinear Schr{\"o}dinger equation with random initial conditions. Namely, we describe the nonlinear evolution of Gaussian measures and we deduce global well-posedness and scattering results for the corresponding nonlinear Schr{\"o}dinger equation.

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Laurent Thomann, Nicolas Burq. 2023-03-13. Evolution of Gaussian measures and application to the one dimensional nonlinear Schr{\"o}dinger equation. https://arxiv.org/abs/2303.06964

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