Low regularity solutions for the Kadomtsev-Petviashvili I equation

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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.
clarified version emerging from careful reading and input from referees

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Analysis of PDEs, 35Q53, 35Q55, 42B35

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http://salesiana.dossiersoluciones.com/handle/123456789/63861

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0204244
 http://arxiv.org/abs/math/0204244

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arXiv