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New blow-up criterion for the Degasperis–Procesi equation with weak dissipation

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Abstract

In this paper, we investigate the Cauchy problem of the Degasperis–Procesi equation with weak dissipation. We establish a new local-in-space blow-up criterion of the dissipative Degasperis–Procesi equation on line \({\mathbb {R}}\) and on circle S, respectively.

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Acknowledgements

This work was supported by Natural Science Foundation of Hunan Province (No. 2018JJ2272), by the Scientific Research Fund of Hunan Provincial Education Department (Nos. 8C0721, 19B381) and Doctoral Research Fund of Hunan University of Arts and Science (No. 16BSQD04).

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  1. Department of Mathematics and Physics, Hunan University of Arts and Science, Changde, 415000, People’s Republic of China

    Xijun Deng

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Deng, X. New blow-up criterion for the Degasperis–Procesi equation with weak dissipation. Anal.Math.Phys. 11, 124 (2021). https://doi.org/10.1007/s13324-020-00432-w

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  • DOI: https://doi.org/10.1007/s13324-020-00432-w

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