Work

Global well-posedness and scattering for the defocusing nonlinear Schrödinger equation below energy space

Year: 2026

Type: preprint

Abstract: In this paper, we prove global well-posedness and scattering below the energy space for the defocusing nonlinear Schrödinger equation with intercritical power nonlinearities in spatial dimensions $d\geq3$, improving the regularity threshold of Vişan and Zhang [Differ. Integr. Equations, 22(2009), 99-124].

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.29840

Authors: Ma, Zuyu, Miao, Changxing, Song, Yilin, Zheng, Jiqiang

Institution: Institute of Applied Physics and Computational Mathematics

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7214360420

Cites: 1

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Related to: 10