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 subcritical threshold solutions for the 4d energy-critical NLS
Zuyu Ma, Changxing Miao, Jason Murphy +1
We study dynamics of the 4 energy-critical nonlinear Schrödinger equation at the ground state energy. Previously, Duyckaerts and Merle [Geom. Funct. Anal. (2009)] proved that a…
math.AP2024
Modified scattering for the cubic dispersion-managed NLS
Jason Murphy, Jiqiang Zheng
We establish a small-data modified scattering result for the cubic dispersion-managed NLS (with time-dependent dispersion map) for initial data in a weighted space.