Masahito Ohta

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20102026

most citedBlow-up and strong instability of standing waves for the NLS-

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14 citations · 61 across the 13 of their papers we have counts for

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Showing 2016 · math.APShow all

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math.AP2016

Strong instability of standing waves for nonlinear Schrödinger equations with harmonic potential

Masahito Ohta

We study strong instability of standing waves $e^{iω t} ϕ_{ω} (x)$ for nonlinear Schrödinger equations with $L^{2}$ -supercritical nonlinearity and a harmonic potential, where $ϕ_{ω}$ is a…

math.AP2016

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…