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On cauchy problem of the Benney-Lin equation with low regularity initial data

✍ Scribed by Xiang Qing Zhao; Shang Bin Cui


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2009
Tongue
English
Weight
258 KB
Volume
25
Category
Article
ISSN
1439-7617

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The Cauchy problem for Kawahara equation
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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