collaborators

4 papers

math.AP2026

Approximate traveling waves for the focusing NLS with an external potential

Luke Baker, Xuemei Li, Jason Murphy

We construct approximate traveling wave solutions for the focusing cubic NLS perturbed by a rapidly decaying external potential. As an application, we demonstrate that there e…

math.AP2026

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.

math.AP2025

Scattering for the NLS with inhomogeneous nonlinearities

Luke Baker

We prove large-data scattering in for inhomogeneous nonlinear Schrödinger equations in two space dimensions for all powers . We assume the inhomogeneity is nonnegative…

math.AP2025

Scattering for the NLS with inhomogeneous nonlinearities

Luke Baker, Jason Murphy

We prove large-data scattering in for inhomogeneous nonlinear Schrödinger equations in one space dimension for powers . We assume the inhomogeneity is nonnegative and r…