8 papers · 1 filter
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…