The Fifth Order KP--II Equation on the Upper Half--plane

M. B. Erdogan, T. B. Gurel, N. Tzirakis

In this paper we study the fifth order Kadomtsev--Petviashvili II (KP--II) equation on the upper half-plane $U=\{(x,y)\in {\mathbb{R}}^2:y>0\}$. In particular we obtain low regularity local…