On finite energy solutions of the KP-I equation

Abstract

We prove that the flow map of the Kadomtsev-Petviashvili-I (KP-I) equation is not uniformly continuous on bounded sets of the natural energy space.

14 pages

References in corpus (2)

• Nonlinear wave interactions for the Benjamin-Ono equation
• Global well-posedness of the Benjamin-Ono equation in low-regularity spaces