On solutions for the Kadomtsev-Petviashvili I equation

Mathematics – Analysis of PDEs

Scientific paper

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fixed mistaken replacement with the proper file. The paper is to appear in Moscow Mathematical Journal

Scientific paper

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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