14 citations · 61 across the 13 of their papers we have counts for
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math.AP2010★ 1 cited
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…
math.AP2010★ 2 cited
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…