The Local Strong and Weak Solutions for a Nonlinear Dissipative Camassa-Holm Equation
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-01
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Using the Kato theorem for abstract differential equations, the local well-posedness of the solution for a nonlinear dissipative Camassa-Holm equation is established in space C([0,T),Hs(R))∩C1([0,T),Hs-1(R)) with s>3/2.
In addition, a sufficient condition for the existence of weak solutions of the equation in lower order Sobolev space Hs(R) with 1≤s≤3/2 is developed.
American Psychological Association (APA)
Lai, Shaoyong. 2011. The Local Strong and Weak Solutions for a Nonlinear Dissipative Camassa-Holm Equation. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-460336
Modern Language Association (MLA)
Lai, Shaoyong. The Local Strong and Weak Solutions for a Nonlinear Dissipative Camassa-Holm Equation. Abstract and Applied Analysis No. 2011 (2011), pp.1-15.
https://search.emarefa.net/detail/BIM-460336
American Medical Association (AMA)
Lai, Shaoyong. The Local Strong and Weak Solutions for a Nonlinear Dissipative Camassa-Holm Equation. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-460336
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-460336
