Well-Posedness for the Two-Dimensional Zakharov-Kuznetsov Equation
نویسندگان
چکیده
منابع مشابه
Well-posedness results for the 3D Zakharov-Kuznetsov equation
We prove the local well-posedness of the three-dimensional Zakharov-Kuznetsov equation ∂tu+∆∂xu+u∂xu = 0 in the Sobolev spaces Hs(R3), s > 1, as well as in the Besov space B 2 (R 3). The proof is based on a sharp maximal function estimate in time-weighted spaces.
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ژورنال
عنوان ژورنال: Funkcialaj Ekvacioj
سال: 2020
ISSN: 0532-8721
DOI: 10.1619/fesi.63.67