In this article, we consider the Cauchy problem of a periodic 2-component -b system. We show that the date to solution for the periodic 2-component -b system is Holder continuous from bounded set of Sobolev spaces with exponent s>5/2 measured in a weaker Sobolev norm with index r<s for the periodic case.
Submitted September 27, 2013. Published January 27, 2014.
Math Subject Classifications: 35G25, 35B30, 35L05.
Key Words: Holder; mu-Hunter-Saxton system; energy estimates; initial value problem; mu-b system.
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| Xiaohuan Wang |
College of Mathematics and Information Science
Kaifeng 475001, China
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