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arXiv · 2410.04532

Non-radial implosion for the defocusing nonlinear Schr\"odinger equation in $\mathbb{T}^d$ and $\mathbb{R}^d$

Gonzalo Cao-Labora·Javier Gómez-Serrano·Jia Shi·Gigliola Staffilani
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Abstract

In this paper we construct smooth, non-radial solutions of the defocusing nonlinear Schr\"odinger equation that develop an imploding finite time singularity, both in the periodic setting and the full space.

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Gonzalo Cao-Labora, Javier Gómez-Serrano, Jia Shi, Gigliola Staffilani. 2024-10-06. Non-radial implosion for the defocusing nonlinear Schr\"odinger equation in $\mathbb{T}^d$ and $\mathbb{R}^d$. https://arxiv.org/abs/2410.04532

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