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The Cauchy problem for the modified Kawahara equation in Sobolev spaces with low regularity

โœ Scribed by Wei Yan; Yongsheng Li; Xingyu Yang


Book ID
108201024
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
244 KB
Volume
54
Category
Article
ISSN
0895-7177

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The Cauchy problem for Kawahara equation
โœ Wei Yan; Yongsheng Li ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 214 KB

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