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Scattering for the non-radial inhomogeneous NLS

Changxing Miao, Jason Murphy, Jiqiang Zheng

2021Mathematical Research Letters33 citationsDOI

Abstract

We extend the result of Farah and Guzm\'an on scattering for the $3d$ cubic inhomogeneous NLS to the non-radial setting. The key new ingredient is a construction of scattering solutions corresponding to initial data living far from the origin.

Topics & Concepts

NLSMathematicsScatteringOpticsPhysicsNuclear localization sequencePsychologyNeuroscienceNucleusAdvanced Mathematical Physics ProblemsNonlinear Waves and SolitonsAdvanced Harmonic Analysis Research
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