Global well-posedness and scattering for the defocusing, mass - critical generalized KdV equation

Benjamin Dodson

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arXiv · 1304.8025

Global well-posedness and scattering for the defocusing, mass - critical generalized KdV equation

Benjamin Dodson

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Abstract

In this paper we prove that the defocusing, mass - critical generalized KdV initial value problem is globally well-posed and scattering for $u_{0} \in L^{2}(\mathbf{R})$. We prove this via a concentration compactness argument.

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Benjamin Dodson. 2013-04-30. Global well-posedness and scattering for the defocusing, mass - critical generalized KdV equation. https://arxiv.org/abs/1304.8025

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