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arxiv: math-ph/0411050 · v1 · pith:HP2FT7CRnew · submitted 2004-11-14 · 🧮 math-ph · math.AP· math.MP

Asymptotic Stability of Nonlinear Schr\"odinger Equations with Potential

classification 🧮 math-ph math.APmath.MP
keywords potentialasymptoticevennonlinearodingerschrstabilityconditions
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We prove asymptotic stability of trapped solitons in the generalized nonlinear Schr\"odinger equation with a potential in dimension 1 and for even potential and even initial conditions.

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