Global well-posedness and scattering for small data for the 3-d KP-II Cauchy problem

2016/08/24 by Herbert Koch, Junfeng Li, Koch, Herbert +1
Mathematics · #35Q53 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #math.AP #msc:35Q53

paper · pdf · doi:10.48550/arxiv.1608.06730

33 pages, 1 figure, final version

openalex publication_date 2016/08/24 · arxiv created 2017/04/10 · arxiv updated 2017/04/11 · openalex created_date 2022/08/30 · openalex updated_date 2026/07/28

Abstract

We study global well-posedness for the Kadomtsev-Petviashvili II equation in three space dimensions with small initial data. The crucial points are new bilinear estimates and the definition of the function spaces. As by-product we obtain that all solutions to small initial data scatter.

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