Low regularity solutions,blowup, and global existence for a generalization of Camassa–Holm‐type equation |
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| Authors: | Xingxing Liu Zhaoyang Yin |
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| Affiliation: | 1. Department of mathematics, China University of Mining and Technology, , 221116 Xuzhou, China;2. Department of Mathematics, Sun Yat‐sen University, , 510275 Guangzhou, China |
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| Abstract: | ![]()
We consider a generalization of Camassa–Holm‐type equation including the Camassa–Holm equation and the Novikov equation. We mainly establish the existence of solutions in lower order Sobolev space  with  . Then, we present a precise blowup scenario and give a global existence result of strong solutions. Copyright © 2013 John Wiley & Sons, Ltd. |
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| Keywords: | Camassa– Holm‐type equation low regularity solutions blowup scenario global existence |
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