An Isaac Newton Institute Workshop

The Theory of Highly Oscillatory Problems

On the zero-mass constraint for KP type equations

Author: Jean-Claude SAUT (Université Paris-Sud)

Abstract

For a rather general class of equations of Kadomtsev-Petviashvili (KP) type, we prove that the zero-mass constraint (in x) is satisfied at any non zero time even if it is not satisfied at initial time zero. Our results are based on a precise analysis of the fundamental solution of the linear part and of its anti x-derivative.