11 citations · 12 across the 7 of their papers we have counts for
13 papers
Standing waves for defocusing nonlinear Schrödinger equations with point interaction
Noriyoshi Fukaya, Yuki Osada, Mario Rastrelli
We consider standing waves of the nonlinear Schrödinger equation in the defocusing case in dimensions and . Here, denotes the…
Stability of standing waves for all frequencies to nonlinear Schrödinger equations with potentials in one dimension
Noriyoshi Fukaya, Masahiro Ikeda, Hiroaki Kikuchi
In this paper, we study the orbital stability of standing waves for one-dimensional nonlinear Schrödinger equations with potentials. We show that the standing waves are orbitally s…
Uniqueness and nondegeneracy of ground states for 2d-nonlinear scalar field equations with point interaction
Noriyoshi Fukaya
We study uniqueness and nondegeneracy of ground states for nonlinear scalar field equations in two dimensions with a point interaction at the origin. It is known that the all groun…
Instability of stationary solutions for double power nonlinear Schrödinger equations in one dimension
Noriyoshi Fukaya, Masayuki Hayashi
We consider a double power nonlinear Schrödinger equation which possesses the algebraically decaying stationary solution as well as exponentially decaying standing waves $e^{…
Traveling waves for a nonlinear Schrödinger system with quadratic interaction
Noriyoshi Fukaya, Masayuki Hayashi, Takahisa Inui
We study traveling wave solutions for a nonlinear Schrödinger system with quadratic interaction. For the non mass resonance case, the system has no Galilean symmetry, which is of p…
On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction
Noriyoshi Fukaya, Vladimir Georgiev, Masahiro Ikeda
We study existence and stability properties of ground-state standing waves for two-dimensional nonlinear Schrödinger equation with a point interaction and a focusing power nonlinea…