Threshold solutions for the energy-critical NLS system with quadratic interaction
Analysis of PDEs
2025-05-07 v1
Abstract
In this paper, we study the Cauchy problem for a quadratic nonlinear Schr\"{o}dinger system in dimension six. In~\cite{GaoMengXuZheng}, the authors classified the behavior of solutions under the energy constraint , where denotes the ground state. In this work, we classify the dynamics of radial solutions at the threshold energy .
Cite
@article{arxiv.2505.03124,
title = {Threshold solutions for the energy-critical NLS system with quadratic interaction},
author = {Alex H. Ardila and Liliana Cely and Fanfei Meng},
journal= {arXiv preprint arXiv:2505.03124},
year = {2025}
}
Comments
36 pages, comments are welcome!