6 papers
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…