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arxiv: math/0112025 · v3 · submitted 2001-12-03 · 🧮 math.AP

On solutions for the Kadomtsev-Petviashvili I equation

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keywords equationdataderivativesinitialintegralinvolvingkadomtsev-petviashvilikp-i
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Oscillatory integral techniques are used to study the well-posedness of the KP-I equation for initial data that are small with respect to the norm of a weighted Sobolev space involving derivatives of total order no larger than 2.

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