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math.AP2019
A sharp scattering threshold level for mass-subcritical nonlinear Schrödinger system
Masaru Hamano, Satoshi Masaki
In this paper, we consider the quadratic nonlinear Schrödinger system in three space dimensions. Our aim is to obtain sharp scattering criteria. Because of the mass-subcritical nat…
math.AP2019★ 9 cited
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{…
math.AP2019★ 1 cited
Global dynamics below the ground state for the focusing Schrödinger equation with a potential
Masaru Hamano, Masahiro Ikeda
In this paper, we consider the nonlinear Schrödinger equation with a real valued potential V=V(x). We study global behavior of solutions to the equation with a data below the groun…