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- W2359102945 abstract "This paper studies the Cauchy problem of the generalized Kawahara equations _tu+au~_xu+β~3(_x)u+γ~5(_x)u=0,where k is an integer greater than 4,with initial data in Besov spaces.It is proved that for any 1q∞,the Canchy problem of this equation is locally well-posed in the Sesov spaces B~(8k)_(2,q)(R) and B~8_(2,9),q(R),where S_k=2k(k-8) and S>S_k, and almost globally well-posed in these spaces if initial data are small,and also proves that if eitherβ=0 orβγ<0,then global well-posedness holds in these spaces for small initial data problem." @default.
- W2359102945 created "2016-06-24" @default.
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- W2359102945 date "2006-01-01" @default.
- W2359102945 modified "2023-09-23" @default.
- W2359102945 title "On the Cauchy Problem of Generalized Kawahara Equations" @default.
- W2359102945 hasPublicationYear "2006" @default.
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