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The Cauchy Problem on a Generalized Novikov Equation

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Abstract

We give asymptotic description of strong solutions in its lifespan with compactly supported initial momentum and investigate the persistence property in weighted space and blow-up phenomena for a generalized Novikov equation.

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Acknowledgments

The authors would like to thank the referees for their careful reading and helpful comments. This work was partially supported by the National Natural Science Foundation of China, under Grant No. 11301394.

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Authors and Affiliations

  1. College of Mathematics and Information Science, Wenzhou University, Wenzhou, 325035, Zhejiang, China

    Kunquan Li, Chongbin Xu & Zhengguang Guo

  2. Institute of Information Science and Technology, East China University of Political Science and Law, Shanghai, 201620, China

    Meijing Shan

Authors
  1. Kunquan Li
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  2. Meijing Shan
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  3. Chongbin Xu
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  4. Zhengguang Guo
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Correspondence to Zhengguang Guo.

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Communicated by Yong Zhou.

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Li, K., Shan, M., Xu, C. et al. The Cauchy Problem on a Generalized Novikov Equation. Bull. Malays. Math. Sci. Soc. 41, 1859–1877 (2018). https://doi.org/10.1007/s40840-016-0431-2

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  • DOI: https://doi.org/10.1007/s40840-016-0431-2

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