On the Cauchy problem for a two-component Degasperis–Procesi system |
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Authors: | Kai Yan Zhaoyang Yin |
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Institution: | Department of Mathematics, Sun Yat-sen University, 510275 Guangzhou, China |
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Abstract: | This paper is concerned with the Cauchy problem for a two-component Degasperis–Procesi system. Firstly, the local well-posedness for this system in the nonhomogeneous Besov spaces is established. Then the precise blow-up scenario for strong solutions to the system is derived. Finally, two new blow-up criterions and the exact blow-up rate of strong solutions to the system are presented. |
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