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Document Scattering for NLS with a delta potential

Valeria BanicaDépartement de Mathématiques, Université d'Evry, LaMME (UMR 8071), 23 Bd. de France, 91037 Evry, FranceNicola ViscigliaDipartimento di Matematica Università Degli Studi di Pisa, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy

2016en

ABI

Annotatsiya

We prove H1 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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DOI: 10.1016/j.jde.2015.11.016

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