The Cauchy problem for the fractional Kadomtsev-Petviashvili equations

Abstract

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.

42 pages

References in corpus (1)

• Remarks on the mass constraint for KP type equations

Cited by in corpus (1)

• On Whitham and related equations