11 citations · 27 across the 12 of their papers we have counts for
18 papers
Threshold even solutions to the nonlinear Schrödinger equation with delta potential at high frequencies
Stephen Gustafson, Takahisa Inui
We consider the nonlinear Schrödinger equation with a repulsive Dirac delta potential in one dimensional Euclidean space. We classify the global dynamics of even solutions with the…
Blow-up or Grow-up for the threshold solutions to the nonlinear Schrödinger equation
Stephen Gustafson, Takahisa Inui
We consider the nonlinear Schrödinger equation with -supercritical and -subcritical power type nonlinearity. Duyckaerts and Roudenko and Campos, Farah, and Roudenko s…
Threshold odd solutions to the nonlinear Schrödinger equation in one dimension
Stephen Gustafson, Takahisa Inui
We consider odd solutions to the Schrödinger equation with the -supercritical power type nonlinearity in one dimensional Euclidean space. It is known that the odd solution sca…
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}…
Non-delay limit in the energy space from the nonlinear damped wave equation to the nonlinear heat equation
Takahisa Inui, Shuji Machihara
We consider a singular limit problem from the damped wave equation with a power type nonlinearity to the corresponding heat equation. We call our singular limit problem non-delay l…
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…