Scattering for NLS with a delta potential

2015/04/10 by Valeria Banica, Nicola Visciglia, Banica, Valeria +1
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP

paper · pdf · doi:10.48550/arxiv.1504.02640

arxiv created 2015/04/10 · arxiv updated 2015/04/13

Abstract

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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