Global well-posedness of the Cauchy problem of the fifth-order shallow water equation |
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Authors: | Hua Wang Shangbin Cui |
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Institution: | Department of Mathematics, Sun Yat-Sen University, Guangzhou, Guangdong 510275, PR China |
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Abstract: | By using the I-method, we prove that the Cauchy problem of the fifth-order shallow water equation is globally well-posed in the Sobolev space Hs(R) provided . |
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Keywords: | 35Q53 35Q35 |
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