40 citations · 190 across the 39 of their papers we have counts for
3 papers · 2 filters
Asymptotic stability of solitary waves for the NLS with an attractive delta potential
Satoshi Masaki, Jason Murphy, Jun-ichi Segata
We consider the one-dimensional nonlinear Schrödinger equation with an attractive delta potential and mass-supercritical nonlinearity. This equation admits a one-parameter family o…
Cubic-quintic NLS: scattering beyond the virial threshold
Rowan Killip, Jason Murphy, Monica Visan
We consider the nonlinear Schrödinger equation in three space dimensions with combined focusing cubic and defocusing quintic nonlinearity. This problem was considered previously by…
Scattering below the ground state for the intercritical non-radial inhomogeneous NLS
Mykael Cardoso, Luiz Gustavo Farah, Carlos M. Guzmán +1
We consider the focusing inhomogeneous nonlinear Schrödinger equation \[ i\partial_t u + Δu + |x|^{-b}|u|^αu = 0\quad\text{on}\quad\mathbb{R}\times\mathbb{R}^N, \] with ,…