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most citedAsymptotics for the cubic 1D NLS with a slowly decaying potential

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math.AP2024★ 1 cited

Asymptotics for the cubic 1D NLS with a slowly decaying potential

Gavin Stewart

We consider the asymptotics of the one-dimensional cubic nonlinear Schrödinger equation with an external potential that does not admit bound states. Assuming that $\jBra{x}^{2+…

math.AP2024★ 1 cited

Scattering and localized states for defocusing nonlinear Schrödinger equations with potential

Avy Soffer, Gavin Stewart

We study the large-time behavior of global energy class () solutions of the one-dimensional nonlinear Schrödinger equation with a general localized potential term and a defocu…