Well-posedness for the Cauchy Problem of the Modified Zakharov-Kuznetsov Equation
Author:
Affiliation:
1. Saitama University
Publisher
Division of Functional Equations, The Mathematical Society of Japan (JST)
Subject
Geometry and Topology,Algebra and Number Theory,Analysis
Link
https://www.jstage.jst.go.jp/article/fesi/65/2/65_139/_pdf
Reference30 articles.
1. [1] Bhattacharya, D., Farah, L. G. and Roudenko, S., Global well-posedness for low regularity data in the 2D modified Zakharov-Kuznetsov equation, J. Differential Equations, 268 (2020), 7962-7997.
2. [2] Biagioni, H. A. and Linares, F., Well-posedness results for the modified Zakharov-Kuznetsov equation, In Nonlinear equations: Methods, models and applications (Bergamo, 2001), Progr. Nonlinear Differential Equations Appl., 54, 181-189. Birkhäuser, Basel, 2003.
3. [3] Bourgain, J., Periodic Korteweg de Vries equation with measures as initial data, Selecta Math. (N.S.), 3 (1997), 115-159.
4. [4] Faminskii, A. V., The Cauchy problem for the Zakharov-Kuznetsov equation, Differ. Equ., 31 (1995), 1002-1012.
5. [5] Farah, L. G., Linares, F. and Pastor, A., A note on the 2D generalized Zakharov-Kuznetsov equation: local, global and scattering results, J. Differential Equations, 253 (2012), 2558-2571.
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