Local Well-Posedness for the Hyperelastic Rots Equation in Besov Space
Received:May 08, 2015  Revised:September 14, 2015
Key Word: Hyperelastic rots equations   Cauchy problem   local well-posedness   blow-up criterion   Besov space  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11001107).
Author NameAffiliation
Shenggui LIU Department of Mathematics, Jiaying University, Guangdong 514015, P. R. China 
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      This paper is concerned with the cauchy problem for the hyperelastic rots equation in Besov space. By virtue of the Littlewood-Paley decomposition, the local well-posedness for the equation in Besov space is established. Furthermore, the blow-up criterion for the solutions of the hyperelastic rots equation is derived.
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