The Cauchy problem for the modified Kawahara equation in Sobolev spaces with low regularity
نویسندگان
چکیده
منابع مشابه
The Cauchy problem for the modified Kawahara equation in Sobolev spaces with low regularity
This paper is concerned with the Cauchy problem of the modified Kawahara equation. By using the Fourier restriction norm method introduced by Bourgain, and using the I-method as well as the L 2 conservation law, we prove that the modified Kawahara equation is globally well-posed for the initial data in the Sobolev space H s (R) with s > − 3 22 .
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2011
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2011.03.036