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On the Cauchy Problem for the Two-Component Novikov Equation
Joint Authors
Tao, Weian
Mi, Yongsheng
Mu, Chunlai
Source
Advances in Mathematical Physics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-04
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We are concerned with the Cauchy problem of two-component Novikov equation, which was proposed by Geng and Xue (2009).
We establish the local well-posedness in a range of the Besov spaces by using Littlewood-Paley decomposition and transport equation theory which is motivated by that in Danchin's cerebrated paper (2001).
Moreover, with analytic initial data, we show that its solutions are analytic in both variables, globally in space and locally in time, which extend some results of Himonas (2003) to more general equations.
American Psychological Association (APA)
Mi, Yongsheng& Mu, Chunlai& Tao, Weian. 2013. On the Cauchy Problem for the Two-Component Novikov Equation. Advances in Mathematical Physics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-499948
Modern Language Association (MLA)
Mi, Yongsheng…[et al.]. On the Cauchy Problem for the Two-Component Novikov Equation. Advances in Mathematical Physics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-499948
American Medical Association (AMA)
Mi, Yongsheng& Mu, Chunlai& Tao, Weian. On the Cauchy Problem for the Two-Component Novikov Equation. Advances in Mathematical Physics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-499948
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499948