most citedOn Asymptotic Stability of Solitary Waves in a Nonlinear Schrödinger Equation

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math-ph2012

Weighted decay for magnetic Schroedinger equation

Alexander Komech, Elena Kopylova

We obtain a dispersive long-time decay in weighted norms for solutions of 3D Schroedinger equation with generic magnetic and scalar potentials. The decay extends the results obtain…

math-ph2007★ 1 cited

On Asymptotic Stability of Solitary Waves in a Nonlinear Schrödinger Equation

V. Buslaev, A. Komech, E. Kopylova +1

The long-time asymptotics is analyzed for finite energy solutions of the 1D Schrödinger equation coupled to a nonlinear oscillator. The coupled system is invariant with respect to…