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The Local and Global Existence of Solutions for a Generalized Camassa-Holm Equation
Joint Authors
Li, Nan
Lai, Shaoyong
Wu, Meng
Li, Shuang
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-26, 26 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-10
Country of Publication
Egypt
No. of Pages
26
Main Subjects
Abstract EN
A nonlinear generalization of the Camassa-Holm equation is investigated.
By making use of the pseudoparabolic regularization technique, its local well posedness in Sobolev space HS(R) with s>3/2 is established via a limiting procedure.
Provided that the initial value u0 satisfies the sign condition and u0∈Hs(R) (s>3/2), it is shown that there exists a unique global solution for the equation in space C([0,∞);Hs(R))∩C1([0,∞);Hs−1(R)).
American Psychological Association (APA)
Li, Nan& Lai, Shaoyong& Li, Shuang& Wu, Meng. 2012. The Local and Global Existence of Solutions for a Generalized Camassa-Holm Equation. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-479252
Modern Language Association (MLA)
Li, Nan…[et al.]. The Local and Global Existence of Solutions for a Generalized Camassa-Holm Equation. Abstract and Applied Analysis No. 2012 (2012), pp.1-26.
https://search.emarefa.net/detail/BIM-479252
American Medical Association (AMA)
Li, Nan& Lai, Shaoyong& Li, Shuang& Wu, Meng. The Local and Global Existence of Solutions for a Generalized Camassa-Holm Equation. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-479252
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479252