Unconditional well-posedness for the periodic Boussinesq and Kawahara equations

Abstract

In this article, we obtain new results on the unconditional well-posedness for a pair of periodic nonlinear dispersive equations using an abstract framework introduced by Kishimoto. This framework is based on a normal form reductions argument coupled with a number of crucial multilinear estimates.

Keywords

• boussinesq equation
• kawahara equation
• well-posedness
• unconditional uniqueness
• normal form