Remarks on Existence/Nonexistence of Analytic Solutions to Higher Order KdV Equations
نویسندگان
چکیده
منابع مشابه
On the Hierarchies of Higher Order Mkdv and Kdv Equations
The Cauchy problem for the higher order equations in the mKdV hierarchy is investigated with data in the spaces b H s (R) defined by the norm ‖v0‖ b Hr s (R) := ‖〈ξ〉 b v0‖Lr′ ξ , 〈ξ〉 = (1 + ξ) 1 2 , 1 r + 1 r = 1. Local well-posedness for the jth equation is shown in the parameter range 2 ≥ r > 1, s ≥ 2j−1 2r . The proof uses an appropriate variant of the Fourier restriction norm method. A coun...
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ژورنال
عنوان ژورنال: Acta Physica Polonica A
سال: 2019
ISSN: 1898-794X,0587-4246
DOI: 10.12693/aphyspola.136.910