Remarks on the mass constraint for KP type equations

Abstract

For a rather general class of equations of Kadomtsev-Petviashvili (KP) type, we prove that the zero-mass (in $x$) constraint 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 its anti $x$-derivative.

References in corpus (1)

• Global well-posedness for the KP-I equation on the background of a non localized solution