Global well-posedness and scattering for small data for the 2D and 3D KP-II Cauchy problem
Koch, Herbert
Journées équations aux dérivées partielles, (2015), p. 1-9 / Harvested from Numdam
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We discuss global well-posedness for the Kadomtsev-Petviashvili II in two and three space dimensions with small 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 as t→±∞.

Publié le : 2015-01-01
DOI : https://doi.org/10.5802/jedp.633 
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     author = {Koch, Herbert},
     title = {Global well-posedness and scattering for small data for the 2D and 3D KP-II Cauchy problem},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {2015},
     pages = {1-9},
     doi = {10.5802/jedp.633},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_2015____A4_0}
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Koch, Herbert. Global well-posedness and scattering for small data for the 2D and 3D KP-II Cauchy problem. Journées équations aux dérivées partielles,  (2015), pp. 1-9. doi : 10.5802/jedp.633. http://gdmltest.u-ga.fr/item/JEDP_2015____A4_0/

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