4 papers
Threshold dynamics for the radial cubic NLS with repulsive inverse-square potential
Luke Baker, Luccas Campos, Jason Murphy +1
We classify the dynamics of radial solutions at the (radial) ground state threshold for the cubic NLS in the presence of a repulsive inverse-square potential.
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…
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…
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.