On the low regularity of the fifth order Kadomtsev–Petviashvili I equation

We consider the fifth order Kadomtsev–Petviashvili I (KP-I) equation as , while α∈R. We introduce an interpolated energy space Es to consider the well-posedness of the initial value problem (IVP) of the fifth order KP-I equation. We obtain the local well-posedness of IVP of the fifth order KP-I equation in Es for 0