The radial defocusing energy-supercritical NLS in dimension four
Analysis of PDEs
2021-05-04 v2
Abstract
We consider the radial defocusing nonlinear Schr\"odinger equations with supercritical exponent in four space dimensions, and prove that any radial solution that remains bounded in the critical Sobolev space must be global and scatter.
Keywords
Cite
@article{arxiv.2104.15035,
title = {The radial defocusing energy-supercritical NLS in dimension four},
author = {Chao Lu and Jiqiang Zheng},
journal= {arXiv preprint arXiv:2104.15035},
year = {2021}
}
Comments
20 pages. arXiv admin note: text overlap with arXiv:1305.3993; substantial text overlap with arXiv:1401.4766 by other authors