Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation
نویسندگان
چکیده
Local well-posedness for the two-dimensional Zakharov-Kuznetsov equation in fully periodic case with initial data Sobolev spaces $H^s$, $s>1$, is proved. Frequency dependent time localization utilized to control derivative nonlinearity. The new ingredient improve on previous results a nonlinear Loomis-Whitney-type inequality.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2021
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2020.108904