Global well-posedness and scattering for small data for the 2D and 3D KP-II Cauchy problem | Zendy

Herbert Koch | Zendy

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Global well-posedness and scattering for small data for the 2D and 3D KP-II Cauchy problem

Author(s) -

Herbert Koch

Publication year - 2016

Publication title -

journées équations aux dérivées partielles

Language(s) - English

Resource type - Journals

eISSN - 2118-9366

pISSN - 0752-0360

DOI - 10.5802/jedp.633

Subject(s) - bilinear interpolation , small data , mathematics , space (punctuation) , initial value problem , product (mathematics) , function (biology) , function space , cauchy distribution , scattering , cauchy problem , mathematical analysis , pure mathematics , physics , computer science , statistics , geometry , optics , data mining , evolutionary biology , biology , operating system

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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