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

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

2011-05-06

arxiv.org/abs/1105.1196v1

Mathematics

Analysis of PDEs

Scientific paper

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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