The Fourier restriction norm method for the Zakharov-Kuznetsov equation
Gruenrock A, Herr S (2014)
Discrete and Continuous Dynamical Systems - Series A 34(5): 2061-2068.
Zeitschriftenaufsatz
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Autor*in
Gruenrock, Axel;
Herr, SebastianUniBi 
Einrichtung
Abstract / Bemerkung
The Cauchy problem for the Zakharov-Kuznetsov equation is shown to be locally well-posed in H-s(R-2) for all s > 1/2 by using the Fourier restriction norm method and bilinear refinements of Strichartz type inequalities.
Stichworte
estimates;
bilinear;
low regularity;
Zakharov-Kuznetsov equation;
well-posedness;
Fourier restriction norm method
Erscheinungsjahr
2014
Zeitschriftentitel
Discrete and Continuous Dynamical Systems - Series A
Band
34
Ausgabe
5
Seite(n)
2061-2068
ISSN
1078-0947
Page URI
https://pub.uni-bielefeld.de/record/2641804
Zitieren
Gruenrock A, Herr S. The Fourier restriction norm method for the Zakharov-Kuznetsov equation. Discrete and Continuous Dynamical Systems - Series A. 2014;34(5):2061-2068.
Gruenrock, A., & Herr, S. (2014). The Fourier restriction norm method for the Zakharov-Kuznetsov equation. Discrete and Continuous Dynamical Systems - Series A, 34(5), 2061-2068. https://doi.org/10.3934/dcds.2014.34.2061
Gruenrock, Axel, and Herr, Sebastian. 2014. “The Fourier restriction norm method for the Zakharov-Kuznetsov equation”. Discrete and Continuous Dynamical Systems - Series A 34 (5): 2061-2068.
Gruenrock, A., and Herr, S. (2014). The Fourier restriction norm method for the Zakharov-Kuznetsov equation. Discrete and Continuous Dynamical Systems - Series A 34, 2061-2068.
Gruenrock, A., & Herr, S., 2014. The Fourier restriction norm method for the Zakharov-Kuznetsov equation. Discrete and Continuous Dynamical Systems - Series A, 34(5), p 2061-2068.
A. Gruenrock and S. Herr, “The Fourier restriction norm method for the Zakharov-Kuznetsov equation”, Discrete and Continuous Dynamical Systems - Series A, vol. 34, 2014, pp. 2061-2068.
Gruenrock, A., Herr, S.: The Fourier restriction norm method for the Zakharov-Kuznetsov equation. Discrete and Continuous Dynamical Systems - Series A. 34, 2061-2068 (2014).
Gruenrock, Axel, and Herr, Sebastian. “The Fourier restriction norm method for the Zakharov-Kuznetsov equation”. Discrete and Continuous Dynamical Systems - Series A 34.5 (2014): 2061-2068.
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