9 citations · 9 across the 1 of their papers we have counts for
3 papers
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 \…