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Well-posedness and blow-up phenomena for the generalized Degasperis-Procesi equation |
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| Authors: | Xinglong Wu Zhaoyang Yin |
| Institution: | Department of Mathematics, Sun Yat-sen University, 510275 Guangzhou, China |
| Abstract: | In this paper, we mainly study the Cauchy problem of the generalized Degasperis-Procesi equation. We establish the local well-posedness and give the precise blow-up scenario for the equation. Then we show that the equation has smooth solutions which blow up in finite time. |
| Keywords: | The generalized Degasperis-Procesi equation Well-posedness Blow-up scenario Blow-up phenomena Equilibrium point |
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