Low regularity solutions for the Kadomtsev-Petviashvili I equation

Details Low regularity solutions for the Kadomtsev-Petviashvili I equation Low regularity solutions for the Kadomtsev-Petviashvili I equation

2002-04-19

arxiv.org/abs/math/0204244v2

Mathematics

Analysis of PDEs

clarified version emerging from careful reading and input from referees

Scientific paper

In this paper we obtain local in time existence and (suitable) uniqueness and
continuous dependence for the KP-I equation for small data in the intersection
of the energy space and a natural weighted $L^{2}$ space.

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