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• W3045596527 abstract "This paper concerns the initial-boundary value problem of the Kawahara equation posed on the right and left half-lines. We prove the local well-posedness in the low regularity Sobolev space. We introduce the Duhamel boundary forcing operator, which is introduced by Colliander and Kenig (Commun Partial Differ Equ 27:2187–2266, 2002) in the context of Airy group operators, to construct solutions on the whole line. We also give the bilinear estimate in $$X^{s,b}$$ space for $$b < frac{1}{2}$$ , which is almost sharp compared to IVP of Kawahara equation (Chen et al. in J Anal Math 107:221–238, 2009; Jia and Huo in J Differ Equ 246:2448–2467, 2009)." @default.
• W3045596527 created "2020-08-03" @default.
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• W3045596527 date "2020-07-28" @default.
• W3045596527 modified "2023-10-17" @default.
• W3045596527 title "The initial-boundary value problem for the Kawahara equation on the half-line" @default.
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• W3045596527 doi "https://doi.org/10.1007/s00030-020-00648-6" @default.
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