Global Well-Posedness and Scattering for the Defocusing, Mass-Critical Generalized KdV Equation

被引：2
作者：
Dodson B. [1 ]
机构：
[1] Johns Hopkins University, Baltimore, MD
来源：
Annals of PDE | / 3卷 / 1期
基金：
美国国家科学基金会;
关键词：
Concentration compactness; KdV; Scattering;
D O I：
10.1007/s40818-017-0025-9
中图分类号：
学科分类号：
摘要：
In this paper we prove that the defocusing, mass-critical generalized KdV initial value problem is globally well-posed and scattering for u∈ L2(R). To prove this, we combine the profile decomposition of Killip et al. (Discrete Contin Dyn Syst Ser A 32(1):191–221, 2012) with an interaction Morawetz estimate constructed from the monotonicity formula of Tao (Discrete Contin Dyn Syst Ser A 18(1):1–14, 2007). © 2017, Springer International Publishing AG.
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