2 papers
math.AP2021
Modified scattering for inhomogeneous nonlinear Schrödinger equations with and without inverse-square potential
Kazuki Aoki, Takahisa Inui, Hayato Miyazaki +2
We consider the final state problem for the inhomogeneous nonlinear Schrödinger equation with a critical long-range nonlinearity. Given a prescribed asymptotic profile, which has a…
math.AP2019
Failure of scattering to standing waves for a Schrödinger equation with long-range nonlinearity on star graph
Kazuki Aoki, Takahisa Inui, Haruya Mizutani
We consider the Schrödinger equation with power type long-range nonlinearity on star graph. Under a general boundary condition at the vertex, including Kirchhoff, Dirichlet, , o…