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.

Fichier principal
Vignette du fichier
Report.pdf (197.74 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

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

Licence

Identifiants

Citer

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⟩
144 Consultations
291 Téléchargements

Altmetric

Partager

  • More