3 papers
math.AP2026
Threshold dynamics for the 4 mass-energy double critical NLS
Alex H. Ardila, Zuyu Ma, Jason Murphy +1
We consider the 4 mass-energy double critical NLS \[ (i\partial_t+Î)u = -|u|^2 u + |u| u. \] In Luo (2024) and Cheng--Miao--Zhao (2016), the authors established a scattering/bl…
math.AP2025
Dynamics of the Energy-Critical Nonlinear Schrödinger System in
Alex H. Ardila
In this paper, we investigate the dynamics of radial solutions at threshold energy for a 3-component Schrödinger system with cubic nonlinearity in four dimensions. The main differ…
math.AP2025
Threshold solutions for the energy-critical NLS system with quadratic interaction
Alex H. Ardila, Liliana Cely, Fanfei Meng
In this paper, we study the Cauchy problem for a quadratic nonlinear Schrödinger system in dimension six. In~\cite{GaoMengXuZheng}, the authors classified the behavior of solution…