The well-posedness of the Korteweg-de Vries-Benjamin-Ono equation |
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| Authors: | Boling Guo Zhaohui Huo |
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| Affiliation: | a Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, PR China
b Graduate School, China Academy of Engineering Physics, PO Box 2101, Beijing 100088, PR China |
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| Abstract: | The well-posedness of the Cauchy problem to the generalized Korteweg-de Vries-Benjamin-Ono equation is considered. Local results for data in  (s?−1/8) and the global well-posedness for data in  are obtained if l=2. Moreover, for l=3, the problem is locally well-posed for data in Hs (s?1/4). The main idea is to use the Fourier restriction norm method. |
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| Keywords: | Generalized Korteweg-de Vries-Benjamin-Ono equation The Fourier restriction norm (operator) [k Z]-multiplier |
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