9 citations · 17 across the 3 of their papers we have counts for
5 papers
Scattering of non-radial solutions for the fourth-order Schrödinger equation with -critical and supercritical nonlinearity
Takahisa Inui, Koichi Komada, Kuranosuke Nishimura
We consider the focusing nonlinear fourth-order Schrödinger equation \begin{equation*} i \partial_t u + μΔu - Δ^2 u = - |u|^{p-1} u, \ \ \ (t,x) \in \mathbb{R} \times \mathbb{R}^d,…
Scattering for the quadratic NLS system in without mass resonance or radial symmetry
Takahisa Inui, Kuranosuke Nishimura
We consider the quadratic NLS system \begin{equation*} \begin{cases} i\partial_tu+Δu=v\bar{u},\newline i\partial_tv+κΔv=u^2, \end{cases} \qquad (t,x)\in\mathbb{R}\times\mathbb{R}^5…
Scattering for the quadratic nonlinear Schrödinger system in without mass-resonance condition
Masaru Hamano, Takahisa Inui, Kuranosuke Nishimura
We consider the quadratic nonlinear Schrödinger system (NLS system) \begin{align*}\begin{cases} i\partial_t u + Δu = v \overline{u}, \\ i\partial_t v+κΔv = u^2, \end{cases} \text{…
Scattering for a mass critical NLS system below the ground state with and without mass-resonance condition
Takahisa Inui, Nobu Kishimoto, Kuranosuke Nishimura
We consider a mass-critical system of nonlinear Schödinger equations \begin{align*} \begin{cases} i\partial_t u +Δu =\bar{u}v,\\ i\partial_t v +κΔv =u^2, \end{cases} (t,x)\in \math…
Blow-up of the radially symmetric solutions for the quadratic nonlinear Schrödinger system without mass-resonance
Takahisa Inui, Nobu Kishimoto, Kuranosuke Nishimura
We consider the quadratic nonlinear Schrödinger system \begin{align*} \begin{cases} i\partial_t u +Δu =v \overline{u},\\ i\partial_t v +κΔv =u^2, \end{cases} \text{ on } I \times \…