Dokument: Strichartz estimates for the generalized Zakharov-Kuznetsov equation on ℝ ⨯ 𝕋���� and applications
| Titel: | Strichartz estimates for the generalized Zakharov-Kuznetsov equation on ℝ ⨯ 𝕋���� and applications | |||||||
| URL für Lesezeichen: | https://docserv.uni-duesseldorf.de/servlets/DocumentServlet?id=71907 | |||||||
| URN (NBN): | urn:nbn:de:hbz:061-20260115-124916-2 | |||||||
| Kollektion: | Publikationen | |||||||
| Sprache: | Englisch | |||||||
| Dokumententyp: | Wissenschaftliche Texte » Artikel, Aufsatz | |||||||
| Medientyp: | Text | |||||||
| Autor: | Nowicki-Koth, Jakob [Autor] | |||||||
| Dateien: |
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| Beschreibung: | In this article, we address the Cauchy problem associated with the k-generalized Zakharov-Kuznetsov equation posed on R×T. By establishing an almost optimal linear L4-estimate, along with a family of bilinear refinements, we significantly lower the well-posedness threshold for all k≥2. In particular, we show that the modified Zakharov-Kuznetsov equation is locally well-posed in Hs(R×T) for all s>1124. | |||||||
| Rechtliche Vermerke: | Originalveröffentlichung:
Nowicki-Koth, J. (2025). Strichartz estimates for the generalized Zakharov-Kuznetsov equation on ℝ ⨯ 𝕋 and applications. Journal of Differential Equations, 455, Article 113951. https://doi.org/10.1016/j.jde.2025.113951 | |||||||
| Lizenz: |  Dieses Werk ist lizenziert unter einer Creative Commons Namensnennung 4.0 International Lizenz | |||||||
| Fachbereich / Einrichtung: | Mathematisch- Naturwissenschaftliche Fakultät | |||||||
| Dokument erstellt am: | 15.01.2026 | |||||||
| Dateien geändert am: | 15.01.2026 |
