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arxiv: 1105.1196 · v1 · pith:SBLXVJX2new · submitted 2011-05-06 · 🧮 math.AP

On the Cauchy problem for a two-component Degasperis-Procesi system

classification 🧮 math.AP
keywords systemblow-upcauchydegasperis-procesiproblemsolutionsstrongtwo-component
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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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