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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…