2 papers
math.AP2025
On Schrödinger equation with square and inverse-square potentials
Atsuhide Ishida, Masaki Kawamoto
In this paper, we study the linear and nonlinear Schrödinger equations with a time-decaying harmonic oscillator and inverse-square potential. This model retains a form of scale in…
math.AP2025
Modified scattering for nonlinear Schrödinger equations with long-range potentials
Masaki Kawamoto, Haruya Mizutani
We study the final state problem for the nonlinear Schrödinger equation with a critical long-range nonlinearity and a long-range linear potential. Given a prescribed asymptotic pr…