Persistence properties for the generalized Camassa-Holm equation

Yongsheng Mi; Boling Guo; Chunlai Mu

doi:10.3934/dcdsb.2019243

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2020, Volume 25, Issue 5: 1623-1630. Doi: 10.3934/dcdsb.2019243

This issue Previous Article Next Article Stability and bifurcation analysis of Filippov food chain system with food chain control strategy

Persistence properties for the generalized Camassa-Holm equation

1.
College of Mathematics and Statistics, Yangtze Normal University, Fuling 408100, Chongqing, China
2.
Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
3.
College of Mathematics and and Statistics, Chongqing University, Chongqing 401331, China

Received: January 31, 2019

Early access: November 2019

Published: May 2020

The first author is supported by NSF of China (Grant No: 11671055), NSF of Chongqing (Grant No: cstc2018jcyj AX0273) and Key project of science and technology research program of Chongqing Education Commission (Grant No: KJZD-K20180140). The second author is supported by NSF of China (Grant No: 11771062). The third author is supported by NSF of China (Grant No: 11601053)

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Abstract

In present paper, we study the Cauchy problem for a generalized Camassa-Holm equation, which was discovered by Novikov. Our purpose here is to establish persistence properties and some unique continuation properties of the solutions of this equation in weighted spaces.

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Mathematics Subject Classification: 35B30, 35G25.

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References

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