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- W2049205083 abstract "The well-posedness of Cauchy problem for the Hirota equation is obtained in Sobolev spaces Hs. Local result is established for initial data in Hs(s⩾14) by using the Fourier restriction norm method. Moreover, the local solution is global for the initial data in Hs(s⩾1) by the generalized trilinear estimates associated with the Fourier restriction norm method." @default.
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- W2049205083 date "2005-03-01" @default.
- W2049205083 modified "2023-09-30" @default.
- W2049205083 title "Well-posedness of the Cauchy problem for the Hirota equation in Sobolev spaces" @default.
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- W2049205083 doi "https://doi.org/10.1016/j.na.2004.10.011" @default.
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