9 citations · 10 across the 6 of their papers we have counts for
9 papers
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…
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…