The H1(R) Space Global Weak Solutions to the Weakly Dissipative Camassa-Holm Equation
Joint Authors
Ma, Yuan
Luo, Xuanjun
Lai, Shaoyong
Sheng, Zhaowei
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-22
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The existence of global weak solutions to the Cauchy problem for a generalized Camassa-Holm equation with a dissipative term is investigated in the space C([0,∞) × R)∩L∞([0,∞); H1(R)) provided that its initial value u0(x) belongs to the space H1(R).
A one-sided super bound estimate and a space-time higher-norm estimate on the first-order derivatives of the solution with respect to the space variable are derived.
American Psychological Association (APA)
Sheng, Zhaowei& Lai, Shaoyong& Ma, Yuan& Luo, Xuanjun. 2012. The H1(R) Space Global Weak Solutions to the Weakly Dissipative Camassa-Holm Equation. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-491063
Modern Language Association (MLA)
Sheng, Zhaowei…[et al.]. The H1(R) Space Global Weak Solutions to the Weakly Dissipative Camassa-Holm Equation. Abstract and Applied Analysis No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-491063
American Medical Association (AMA)
Sheng, Zhaowei& Lai, Shaoyong& Ma, Yuan& Luo, Xuanjun. The H1(R) Space Global Weak Solutions to the Weakly Dissipative Camassa-Holm Equation. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-491063
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491063
