Functions and Analysis


The Asymptotic Behavior of Defocusing Nonlinear Schrödinger Equations

Authors: En-Lin Liu

This article is concerned with the scattering problem for the defocusing nonlinear Schrödinger equations (NLS) with a power nonlinear |u|^p u where 2/n < p < 4/n. We show that for any initial data in H^{0,1} x the solution will eventually scatter, i.e. U(-t)u(t) tends to some function u+ as t tends to innity.

Comments: 6 Pages. Quite trivial research XD

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Submission history

[v1] 2017-04-21 20:56:48

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