The Cauchy problem for Kawahara equation
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Wei Yan; Yongsheng Li
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Article
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2010
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John Wiley and Sons
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English
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This paper is devoted to studying the initial-value problem of the Kawahara equation. By establishing some crucial bilinear estimates related to the Bourgain spaces X s,b (R 2 ) introduced by Bourgain and homogeneous Bourgain spaces, which is defined in this paper and using I-method as well as L 2 c