Well-posedness for the initial value problem associated to the Zakharov–Kuznetsov (ZK) equation in asymmetric spaces
Abstract
We study well-posedness for Zakharov-Kuznetsov and modified Zakharov-Kuznetsov equations in asymmetric spaces. In order to do so, we extend a theory initiated by Kato for the Korteweg-de Vries equation to higher dimensions n ≥ 2. As an application, we prove a result concerning dispersive blow-up for the modified Zakharov-Kuznetsov in dimension 2.
Domains
Analysis of PDEs [math.AP]
Origin : Files produced by the author(s)