Zero-filter limit issue for the Camassa–Holm equation in Besov spaces-Reference-Cited by-同舟云学术

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Zero-filter limit issue for the Camassa–Holm equation in Besov spaces

Published:2024-02-04 Issue:1 Volume:205 Page:119-135
ISSN:0026-9255
Container-title:Monatshefte für Mathematik
language:en
Short-container-title:Monatsh Math

Author:

Cheng Yuxing,Lu Jianzhong^ORCID,Li Min,Wu Xing,Li Jinlu

Funder

Jiangxi Provincial Natural Science Foundation

National Natural Science Foundation of China

Training Program for Academic and Technical Leaders of Major Disciplines in Ganpo Juncai Support Program

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s00605-024-01944-4.pdf

Reference28 articles.

1. Bahouri, H., Chemin, J. Y., Danchin, R.: Fourier analysis and nonlinear partial differential equations. Grundlehren der Mathematischen Wissenschaften, Springer, Heidelberg (2011)

2. Bressan, A., Constantin, A.: Global conservative solutions of the Camassa–Holm equation. Arch. Ration. Mech. Anal. 183, 215–239 (2007)

3. Bressan, A., Constantin, A.: Global dissipative solutions of the Camassa–Holm equation. Anal. Appl. 5, 1–27 (2007)

4. Camassa, R., Holm, D.: An integrable shallow water equation with peaked solitons. Phys. Rev. Lett. 71, 1661–1664 (1993)

5. Constantin, A.: Existence of permanent and breaking waves for a shallow water equation: a geometric approach. Ann. Inst. Fourier 50, 321–362 (2000)

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