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arXiv · 1706.04659

On the radius of spatial analyticity for cubic nonlinear Schr\"{o}dinger equation

Achenef Tesfahun
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Abstract

It is shown that the uniform radius of spatial analyticity $\sigma(t)$ of solutions at time $t$ to the 1d, 2d and 3d cubic nonlinear Schr\"{o}dinger equations cannot decay faster than $1/|t|$ as $|t| \to \infty$, given initial data that is analytic with fixed radius $\sigma_0$.

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Achenef Tesfahun. 2017-06-14. On the radius of spatial analyticity for cubic nonlinear Schr\"{o}dinger equation. https://arxiv.org/abs/1706.04659

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