Tetsu Mizumachi

activity

20062026

most citedOn asymptotic stability in energy space of ground states for Nonlinear Schrödinger equations

89 citations · 190 across the 20 of their papers we have counts for

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Showing 2006 · math.APShow all

3 papers · 2 filters

math.AP2006★ 17 cited

Asymptotic stability of small solitons for 2D Nonlinear Schrödinger equations with potential

Tetsu Mizumachi

We consider asymptotic stability of a small solitary wave to supercritical 2-dimensional nonlinear Schrödinger equations $$ iu_t+Δu=Vu\pm |u|^{p-1}u \quad\text{for $(x,t)\in\mathbb…

math.AP2006★ 1 cited

Instability of vortex solitons for 2D focusing NLS

Tetsu Mizumachi

We study instability of a vortex soliton $e^{i (m θ + ω t)} ϕ_{ω, m} (r)$ to $i u_{t} + Δ u + ∣ u ∣^{p - 1} u = 0, for x \in R^{n}, t > 0,$ where $n = 2$ , $m \in N$ and $(r, θ)$ are polar coordin…

math.AP2006★ 23 cited

Asymptotic stability of small solitons to 1D NLS with potential

Tetsu Mizumachi

We consider asymptotic stability of a small solitary wave to supercritical 1-dimensional nonlinear Schrödinger equations $$ iu_t+u_{xx}=Vu\pm |u|^{p-1}u \quad\text{for $(x,t)\in\ma…