On the Cauchy problem for a generalized Degasperis-Procesi equation |
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| Authors: | Weikui Ye |
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| Affiliation: | Department of Mathematics, Sun Yat-sen University, Guangzhou, People's Republic of China |
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| Abstract: | ABSTRACTWe first establish the local well-posedness for a generalized Degasperis-Procesi equation in nonhomogeneous Besov spaces. Then we present a global existence result for the equation. Moreover, we obtain a blow-up criteria and provide a sufficient condition for strong solutions to blow up in finite time. |
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| Keywords: | Adrian Constantin |
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