Well-posedness for the initial value problem associated to the Zakharov–Kuznetsov (ZK) equation in asymmetric spaces - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue SN Partial Differential Equations and Applications Année : 2023

Well-posedness for the initial value problem associated to the Zakharov–Kuznetsov (ZK) equation in asymmetric spaces

Résumé

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.
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hal-04071783 , version 1 (17-04-2023)

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Émile Deléage, Felipe Linares. Well-posedness for the initial value problem associated to the Zakharov–Kuznetsov (ZK) equation in asymmetric spaces. SN Partial Differential Equations and Applications, 2023, 4 (2), pp.9. ⟨10.1007/s42985-023-00223-5⟩. ⟨hal-04071783⟩
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