Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation

Kinoshita S, Schippa R (2021)
Journal of Functional Analysis 280(6): 108904.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Kinoshita, ShinyaUniBi; Schippa, Robert
Abstract / Bemerkung
Local well-posedness for the two-dimensional Zakharov-Kuznetsov equation in the fully periodic case with initial data in Sobolev spaces H-s, s > 1, is proved. Frequency dependent time localization is utilized to control the derivative nonlinearity. The new ingredient to improve on previous results is a nonlinear Loomis-Whitney-type inequality. (C) 2020 Elsevier Inc. All rights reserved.
Stichworte
Zakharov-Kuznetsov equation; Local well-posedness; Short-time Fourier; restriction norm method; Nonlinear Loomis-Whitney; inequality
Erscheinungsjahr
2021
Zeitschriftentitel
Journal of Functional Analysis
Band
280
Ausgabe
6
Art.-Nr.
108904
ISSN
0022-1236
eISSN
1096-0783
Page URI
https://pub.uni-bielefeld.de/record/2951291

Zitieren

Kinoshita S, Schippa R. Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation. Journal of Functional Analysis. 2021;280(6): 108904.
Kinoshita, S., & Schippa, R. (2021). Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation. Journal of Functional Analysis, 280(6), 108904. https://doi.org/10.1016/j.jfa.2020.108904
Kinoshita, S., and Schippa, R. (2021). Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation. Journal of Functional Analysis 280:108904.
Kinoshita, S., & Schippa, R., 2021. Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation. Journal of Functional Analysis, 280(6): 108904.
S. Kinoshita and R. Schippa, “Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation”, Journal of Functional Analysis, vol. 280, 2021, : 108904.
Kinoshita, S., Schippa, R.: Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation. Journal of Functional Analysis. 280, : 108904 (2021).
Kinoshita, Shinya, and Schippa, Robert. “Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation”. Journal of Functional Analysis 280.6 (2021): 108904.

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