40 citations · 190 across the 39 of their papers we have counts for
5 papers · 1 filter
A new proof of scattering below the ground state for the non-radial focusing NLS
Benjamin Dodson, Jason Murphy
We revisit the scattering result of Duyckaerts, Holmer, and Roudenko for the non-radial -critical focusing NLS. By proving an interaction Morawetz inequality, we give…
Modified scattering for the cubic NLS with a repulsive delta potential
Satoshi Masaki, Jason Murphy, Jun-ichi Segata
We consider the initial-value problem for the cubic nonlinear Schrödinger equation with a repulsive delta potential. We prove that small initial data in a weighted Sobolev spa…
Random data final-state problem for the mass-subcritical NLS in
Jason Murphy
We study the final-state problem for the mass-subcritical NLS above the Strauss exponent. For , we perform a physical-space randomization, yielding random final states…
Scattering in for the intercritical NLS with an inverse-square potential
Jing Lu, Changxing Miao, Jason Murphy
We study the nonlinear Schrödinger equation with an inverse-square potential in dimensions . We consider both focusing and defocusing nonlinearities in the mass-sup…
The initial-value problem for the cubic-quintic NLS with non-vanishing boundary conditions
Rowan Killip, Jason Murphy, Monica Visan
We consider the initial-value problem for the cubic-quintic NLS \[ (i\partial_t+Δ)ψ=α_1 ψ-α_{3}\vert ψ\vert^2 ψ+α_5\vert ψ\vert^4 ψ\] in three spatial dimensions in the class of so…