Global existence and blow-up phenomena for the weakly dissipative Novikov equation |
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| Authors: | Wei Yan Yongsheng Li |
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| Affiliation: | a College of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan 453007, PR Chinab Department of Mathematics, South China University of Technology, Guangzhou, Guangdong 510640, PR Chinac Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, Hubei 430071, PR China |
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| Abstract: | In this paper, we consider the global existence and blow-up for the weakly dissipative Novikov equation. We firstly establish the local well-posedness for the weakly dissipative Novikov equation by Kato’s theorem. Then we present some blow-up results. Finally, we present the global existence of strong solutions to the weakly dissipative equation. |
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| Keywords: | 35R25 |
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