40 citations · 190 across the 39 of their papers we have counts for
4 papers · 2 filters
A new proof of scattering below the ground state for the 3d radial focusing cubic NLS
Benjamin Dodson, Jason Murphy
We revisit the scattering result of Holmer and Roudenko on the radial focusing cubic NLS in three space dimensions. Using the radial Sobolev embedding and a virial/Morawetz estimat…
Large data mass-subcritical NLS: critical weighted bounds imply scattering
Rowan Killip, Satoshi Masaki, Jason Murphy +1
We consider the mass-subcritical nonlinear Schrödinger equation in all space dimensions with focusing or defocusing nonlinearity. For such equations with critical regularity $s_c\i…
Almost global existence for cubic nonlinear Schrödinger equations in one space dimension
Jason Murphy, Fabio Pusateri
We consider non-gauge-invariant cubic nonlinear Schrödinger equations in one space dimension. We show that initial data of size in a weighted Sobolev space lead to so…
The focusing cubic NLS with inverse-square potential in three space dimensions
Rowan Killip, Jason Murphy, Monica Visan +1
We consider the focusing cubic nonlinear Schrödinger equation with inverse-square potential in three space dimensions. We identify a sharp threshold between scattering and blowup,…