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Global well-posedness and scattering for the defocusing nonlinear Schrödinger equation below energy space
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≥3, improving the regularity threshold of Vişan and Zhang [Differ. Integr. Equations, 22(2009), 99-124].
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BibTeX
@misc{ma2026global,
title = {{Global well-posedness and scattering for the defocusing nonlinear Schrödinger equation below energy space}},
author = {Zuyu Ma and Changxing Miao and Yilin Song and Jiqiang Zheng},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.29840},
eprint = {2609.29840},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.29840},
}
RIS
TY - UNPB
TI - Global well-posedness and scattering for the defocusing nonlinear Schrödinger equation below energy space
AU - Zuyu Ma
AU - Changxing Miao
AU - Yilin Song
AU - Jiqiang Zheng
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.29840
UR - https://arxiv.org/abs/2609.29840
AB - 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≥3, improving the regularity threshold of Vişan and Zhang [Differ. Integr. Equations, 22(2009), 99-124].
ER -