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

2013/04/30 by Benjamin Dodson, Dodson, Benjamin · 2 citations
Mathematics · #Advanced Mathematical Physics Problems

paper · pdf · doi:10.48550/arxiv.1304.8025

Abstract

In this paper we prove that the defocusing, mass - critical generalized KdV\ninitial value problem is globally well-posed and scattering for u₀ \∈\nL²(\R). We prove this via a concentration compactness argument.\n

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• Global Well-posedness and Scattering for Stochastic generalized KdV Equations with additive noise
• On dispersive decay for the generalized Korteweg--de Vries equation

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