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

Type: Preprint

Publication Date: 2024-10-06

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2410.04532

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.

Locations

arXiv (Cornell University) - View - PDF

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