The Cauchy Problem to a Shallow Water Wave Equation with a Weakly Dissipative Term
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-22
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
A shallow water wave equation with a weakly dissipative term, which includes the weakly dissipative Camassa-Holm and the weakly dissipative Degasperis-Procesi equations as special cases, is investigated.
The sufficient conditions about the existence of the global strong solution are given.
Provided that (1-∂x2)u0∈M+(R), u0∈H1(R), and u0∈L1(R), the existence and uniqueness of the global weak solution to the equation are shown to be true.
American Psychological Association (APA)
Wang, Ying& Guo, Yunxi. 2012. The Cauchy Problem to a Shallow Water Wave Equation with a Weakly Dissipative Term. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-502443
Modern Language Association (MLA)
Wang, Ying& Guo, Yunxi. The Cauchy Problem to a Shallow Water Wave Equation with a Weakly Dissipative Term. Abstract and Applied Analysis No. 2012 (2012), pp.1-23.
https://search.emarefa.net/detail/BIM-502443
American Medical Association (AMA)
Wang, Ying& Guo, Yunxi. The Cauchy Problem to a Shallow Water Wave Equation with a Weakly Dissipative Term. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-502443
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502443