Unconditional well-posedness for the Kawahara equation

Abstract

This article is concerned with the unconditional well-posedness for the Kawahara equation on the real line and shows that this holds true for initial data in $L^2(\mathbb{R})$. This is achieved by applying an infinite iteration scheme of normal form reductions.

21 pages

References in corpus (1)

• Low regularity solutions of two fifth-order KdV type equations