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arxiv: 1504.02640 · v1 · pith:BP62YQYMnew · submitted 2015-04-10 · 🧮 math.AP · math-ph· math.MP

Scattering for NLS with a delta potential

classification 🧮 math.AP math-phmath.MP
keywords scatteringdeltapotentialcaseclassicaldefocusingextendingfirst
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We prove $H^1$ scattering for defocusing NLS with a delta potential and mass-supercritical nonlinearity, hence extending in an inhomogeneous setting the classical 1-D scattering results first proved by Nakanishi in the translation invariant case.

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