Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher
Herr S, Kinoshita S (2023)
Annales de l‘Institut Fourier 73(3): 1203-1267.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
Autor*in
Einrichtung
Abstract / Bemerkung
The Zakharov-Kuznetsov equation in space dimension $d\geq 3$ is considered.
It is proved that the Cauchy problem is locally well-posed in
$H^s(\mathbb{R}^d)$ in the full subcritical range $s>(d-4)/2$, which is optimal
up to the endpoint. As a corollary, global well-posedness in
$L^2(\mathbb{R}^3)$ and, under a smallness condition, in $H^1(\mathbb{R}^4)$,
follow.
Erscheinungsjahr
2023
Zeitschriftentitel
Annales de l‘Institut Fourier
Band
73
Ausgabe
3
Seite(n)
1203-1267
Page URI
https://pub.uni-bielefeld.de/record/2940435
Zitieren
Herr S, Kinoshita S. Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher. Annales de l‘Institut Fourier. 2023;73(3):1203-1267.
Herr, S., & Kinoshita, S. (2023). Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher. Annales de l‘Institut Fourier, 73(3), 1203-1267. https://doi.org/10.5802/aif.3547
Herr, Sebastian, and Kinoshita, Shinya. 2023. “Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher”. Annales de l‘Institut Fourier 73 (3): 1203-1267.
Herr, S., and Kinoshita, S. (2023). Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher. Annales de l‘Institut Fourier 73, 1203-1267.
Herr, S., & Kinoshita, S., 2023. Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher. Annales de l‘Institut Fourier, 73(3), p 1203-1267.
S. Herr and S. Kinoshita, “Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher”, Annales de l‘Institut Fourier, vol. 73, 2023, pp. 1203-1267.
Herr, S., Kinoshita, S.: Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher. Annales de l‘Institut Fourier. 73, 1203-1267 (2023).
Herr, Sebastian, and Kinoshita, Shinya. “Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher”. Annales de l‘Institut Fourier 73.3 (2023): 1203-1267.
Link(s) zu Volltext(en)
Access Level
Closed Access
Export
Markieren/ Markierung löschen
Markierte Publikationen
Web of Science
Dieser Datensatz im Web of Science®Quellen
arXiv: 2001.09047
Suchen in
Google Scholar