14 citations · 61 across the 13 of their papers we have counts for
16 papers
Global existence for a Zakharov type system in a domain
Nobutatsu Kobayashi, Masahito Ohta
We study an initial-boundary value problem for a Zakharov type system in three space dimensions in a general domain. Under a smallness assumption on the initial data, we construct…
Strong instability of standing waves for a system of nonlinear Klein-Gordon equations with quadratic interaction
Masahito Ohta
We consider a system of nonlinear Klein-Gordon equations with quadratic interaction in two and three space dimensions. The strong instability of standing wave solutions is studied…
Blow-up and strong instability of standing waves for the NLS- equation on a star graph
Nataliia Goloshchapova, Masahito Ohta
We study strong instability (by blow-up) of the standing waves for the nonlinear Schrödinger equation with -interaction on a star graph . The key ingredient is a novel variat…
Stability of Standing Waves for a Nonlinear Klein-Gordon Equation with Delta Potentials
Elek Csobo, François Genoud, Masahito Ohta +1
In this paper, we study local well-posedness and orbital stability of standing waves for a singularly perturbed one-dimensional nonlinear Klein-Gordon equation. We first establish…
Instability of the solitary waves for the generalized Boussinesq equations
Bing Li, Masahito Ohta, Yifei Wu +1
In this work, we consider the following generalized Boussinesq equation \begin{align*} \partial_{t}^2u-\partial_{x}^2u+\partial_{x}^2(\partial_{x}^2u+|u|^{p}u)=0,\qquad (t,x)\in\ma…
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…
Strong instability of standing waves for nonlinear Schrödinger equations with a partial confinement
Masahito Ohta
We study the instability of standing wave solutions for nonlinear Schrödinger equations with a one-dimensional harmonic potential in dimension . We prove that if the nonlin…
Strong instability of standing waves for nonlinear Schrödinger equations with harmonic potential
Masahito Ohta
We study strong instability of standing waves for nonlinear Schrödinger equations with -supercritical nonlinearity and a harmonic potential, where is a…
Instability of standing waves for a system of nonlinear Schrödinger equations in a degenerate case
Shotaro Kawahara, Masahito Ohta
We study a system of nonlinear Schrödinger equations with cubic interactions in one space dimension. The orbital stability and instability of semitrivial standing wave solutions ar…
Strong instability of standing waves for nonlinear Schrödinger equations with a delta potential
Masahito Ohta, Takahiro Yamaguchi
We study strong instability (instability by blowup) of standing wave solutions for a nonlinear Schrödinger equation with an attractive delta potential and -supercritical power…
Instability of solitary waves for nonlinear Schrödinger equations of derivative type
Masahito Ohta
We study the orbital stablity and instability of solitary wave solutions for nonlinear Schrödinger equations of derivative type.
Strong instability of standing waves for nonlinear Schrödinger equations with double power nonlinearity
Masahito Ohta, Takahiro Yamaguchi
We prove strong instability (instability by blowup) of standing waves for some nonlinear Schrödinger equations with double power nonlinearity.
Bifurcation from semi-trivial standing waves and ground states for a system of nonlinear Schrödinger equations
Mathieu Colin, Masahito Ohta
We consider a system of nonlinear Schrödinger equations related to the Raman amplification in a plasma. We study the orbital stability and instability of standing waves bifurcating…
Instability of bound states for abstract nonlinear Schrödinger equations
Masahito Ohta
We study the instability of bound states for abstract nonlinear Schrödinger equations. We prove a new instability result for a borderline case between stability and instability. We…
Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations
Vladimir Georgiev, Masahito Ohta
We study the instability of standing waves for nonlinear Schrödinger equations. Under a general assumption on nonlinearity, we prove that linear instability implies orbital instabi…