14 citations · 28 across the 12 of their papers we have counts for
13 papers
Scattering and blow-up dichotomy of the energy-critical nonlinear Schrödinger equation with the inverse-square potential
Masaru Hamano, Masahiro Ikeda
In this paper, we consider the energy critical nonlinear Schrödinger equation with a repulsive inverse square potential. In particular, we deal with radial initial data, whose ener…
Global solutions of stochastic nonlinear Schrödinger system with quadratic interaction
Masaru Hamano, Shunya Hashimoto, Shuji Machihara
The time-global existence of solutions to a system of stochastic Schrödinger equations with multiplicative noise and the quadratic nonlinear terms are discussed in this paper. The…
Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph
Masaru Hamano, Masahiro Ikeda, Takahisa Inui +1
We consider the nonlinear Schrödinger equations on the star graph with the Kirchhoff boundary and the repulsive Dirac delta boundary at the origin. In the present paper, we show th…
Threshold solutions for the 3D focusing cubic-quintic nonlinear Schrodinger equation at low frequencies
Masaru Hamano, Hiroaki Kikuchi, Minami Watanabe
This paper addresses the focusing cubic-quintic nonlinear Schrodinger equation in three space dimensions. Especially, we study the global dynamics of solutions whose energy and mas…
Blow-up solutions for non-scale-invariant nonlinear Schrödinger equation in one dimension
Masaru Hamano, Masahiro Ikeda, Shuji Machihara
In this paper, we consider the mass-critical nonlinear Schrödinger equation in one dimension. Ogawa--Tsutsumi [19] proved a blow-up result for negative energy solution by using a s…
Mass-energy threshold dynamics for the focusing NLS with a repulsive inverse-power potential
Alex H. Ardila, Masaru Hamano, Masahiro Ikeda
In this paper we study long time dynamics (i.e., scattering and blow-up) of solutions for the focusing NLS with a repulsive inverse-power potential and with initial data lying exac…
Scattering solutions to nonlinear Schrödinger equation with a long range potential
Masaru Hamano, Masahiro Ikeda
In this paper, we consider a nonlinear Schrödinger equation with a repulsive inverse-power potential. It is known that the corresponding stationary problem has a "radial" ground st…
Stability and instability of radial standing waves to NLKG equation with an inverse-square potential
Masaru Hamano, Masahiro Ikeda
In this paper, we consider radial standing waves to a nonlinear Klein-Gordon equation with a repulsive inverse-square potential. It is known that existence of a "radial" ground sta…
Equivalence of conditions on initial data below the ground state to NLS with a repulsive inverse power potential
Masaru Hamano, Masahiro Ikeda
In this paper, we consider the nonlinear Schrödinger equation with a repulsive inverse power potential. First, we show that some global well-posedness results and "blow-up or grow-…
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…
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{…
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…
Global dynamics below the ground state for the quadratic Schödinger system in 5d
Masaru Hamano
In this paper we consider the nonlinear Schrödinger system (NLS) with quadratic interaction in five dimensions. We determine the global behavior of the solutions to the system with…