On the Local Well-Posedness of the Cauchy Problem for a Modified Two-Component Camassa-Holm System in Besov Spaces
Joint Authors
Zhang, Wenbin
Zhou, Jiangbo
Yao, Lu
Li-xin, Tian
Source
International Journal of Partial Differential Equations
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-31
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We consider the Cauchy problem for an integrable modified two-component Camassa-Holm system with cubic nonlinearity.
By using the Littlewood-Paley decomposition, nonhomogeneous Besov spaces, and a priori estimates for linear transport equation, we prove that the Cauchy problem is locally well-posed in Besov spaces Bp, rs with 1≤p, r≤+∞ and s>max{2+(1/p),5/2}.
American Psychological Association (APA)
Zhou, Jiangbo& Yao, Lu& Li-xin, Tian& Zhang, Wenbin. 2013. On the Local Well-Posedness of the Cauchy Problem for a Modified Two-Component Camassa-Holm System in Besov Spaces. International Journal of Partial Differential Equations،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-501877
Modern Language Association (MLA)
Zhou, Jiangbo…[et al.]. On the Local Well-Posedness of the Cauchy Problem for a Modified Two-Component Camassa-Holm System in Besov Spaces. International Journal of Partial Differential Equations No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-501877
American Medical Association (AMA)
Zhou, Jiangbo& Yao, Lu& Li-xin, Tian& Zhang, Wenbin. On the Local Well-Posedness of the Cauchy Problem for a Modified Two-Component Camassa-Holm System in Besov Spaces. International Journal of Partial Differential Equations. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-501877
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-501877
