Global well-posedness and scattering for small data for the 3-d KP-II Cauchy problem
classification
🧮 math.AP
keywords
datasmallglobalinitialwell-posednessbilinearby-productcauchy
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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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