35 citations · 96 across the 13 of their papers we have counts for
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Instability theory of stationary solutions for nonlinear Schrödinger equations
Noriyoshi Fukaya, Masayuki Hayashi
We study the orbital instability of algebraically decaying stationary solutions of nonlinear Schrödinger equations in dimensions , taking competing double-power nonlineariti…
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…
Instability of degenerate solitons for nonlinear Schrödinger equations with derivative
Noriyoshi Fukaya, Masayuki Hayashi
We consider the following nonlinear Schrödinger equation with derivative: \begin{equation} iu_t =-u_{xx} -i |u|^{2}u_x -b|u|^4u , \quad (t,x) \in \mathbb{R}\times\mathbb{R}, \ b \i…
Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities
Noriyoshi Fukaya, Masayuki Hayashi
We consider a nonlinear Schrödinger equation with double power nonlinearity \begin{align*} i\partial_t u+Δu-|u|^{p-1}u+|u|^{q-1}u=0,\quad (t,x)\in\mathbb{R}\times\mathbb{R}^N, \end…
Uniqueness and nondegeneracy of ground states for nonlinear Schrödinger equations with attractive inverse-power potential
Noriyoshi Fukaya
We study uniqueness and nondegeneracy of ground states for stationary nonlinear Schrödinger equations with a focusing power-type nonlinearity and an attractive inverse-power potent…
Strong instability of standing waves with negative energy for double power nonlinear Schrödinger equations
Noriyoshi Fukaya, Masahito Ohta
We study the strong instability of ground-state standing waves for -dimensional nonlinear Schrödinger equations with double power nonlinearity. One is -subc…
Strong instability of standing waves for nonlinear Schrödinger equations with attractive inverse power potential
Noriyoshi Fukaya, Masahito Ohta
We study the strong instability of standing waves for nonlinear Schrödinger equations with an -supercritical nonlinearity and an attractive inverse power poten…
A sufficient condition for global existence of solutions to a generalized derivative nonlinear Schrödinger equation
Noriyoshi Fukaya, Masayuki Hayashi, Takahisa Inui
We give a sufficient condition for global existence of the solutions to a generalized derivative nonlinear Schrödinger equation (gDNLS) by a variational argument. The variational a…
Instability of solitary waves for a generalized derivative nonlinear Schrödinger equation in a borderline case
Noriyoshi Fukaya
We study the orbital instability of solitary waves for a generalized derivative nonlinear Schrödinger equation. We give sufficient conditions for instability of a two-parameter fam…