Sharp well-posedness for Kadomtsev-Petviashvili-Burgers (KPBII) equation in $R^2$

Bassam Kojok

We prove global well-posedness for the Cauchy problem associated with the Kadomotsev-Petviashvili-Burgers equation (KPBII) in ${\mathbb{R}}^2$ when the initial value belongs to the an…