45 citations · 148 across the 22 of their papers we have counts for
4 papers · 1 filter
The cubic-quintic nonlinear Schrödinger equation with inverse-square potential
Alex H. Ardila, Jason Murphy
We consider the nonlinear Schrödinger equation in three space dimensions with a focusing cubic nonlinearity and defocusing quintic nonlinearity and in the presence of an external i…
Threshold scattering for the focusing NLS with a repulsive Dirac delta potential
Alex H. Ardila, Takahisa Inui
We establish the scattering of solutions to the focusing mass supercritical nonlinear Schrödinger equation with a repulsive Dirac delta potential \[ i\partial_{t}u+\partial^{2}_{x}…
Blow-up and scattering for the 1D NLS with point nonlinearity above the mass-energy threshold
Alex H. Ardila
In this paper, we study the nonlinear Schrödinger equation with focusing point nonlinearity in dimension one. First, we establish a scattering criterion for the equation based on K…
Instability of ground states for the NLS equation with potential on the star graph
Alex H. Ardila, Liliana Cely, Nataliia Goloshchapova
We study the nonlinear Schrödinger equation with an arbitrary real potential on a star graph . At the vertex an interaction occurs described by the g…