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arxiv: 1705.09744 · v1 · pith:JI7ZC2YUnew · submitted 2017-05-27 · 🧮 math.AP

The Cauchy problem for the fractional Kadomtsev-Petviashvili equations

classification 🧮 math.AP
keywords equationscauchyfractionalkadomtsev-petviashviliproblemassociatedbenjamin-onoclass
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The aim of this paper is to prove various ill-posedness and well-posedness results on the Cauchy problem associated to a class of fractional Kadomtsev-Petviashvili (KP) equations including the KP version of the Benjamin-Ono and Intermediate Long Wave equations.

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