The Local Strong and Weak Solutions for a Nonlinear Dissipative Camassa-Holm Equation

Shaoyong Lai

Abstract and Applied Analysis, 2011, vol. 2011, 1-15

Abstract:

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 ð ¶ ( [ 0 , 𠑇 ) , ð » ð ‘ ( ð ‘… ) ) ∩ ð ¶ 1 ( [ 0 , 𠑇 ) , ð » ð ‘ âˆ’ 1 ( ð ‘… ) ) with ð ‘ > 3 / 2 . In addition, a sufficient condition for the existence of weak solutions of the equation in lower order Sobolev space ð » ð ‘ ( ð ‘… ) with 1 ≤ ð ‘ â‰¤ 3 / 2 is developed.

Date: 2011
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/AAA/2011/285040.pdf (application/pdf)
http://downloads.hindawi.com/journals/AAA/2011/285040.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:285040

DOI: 10.1155/2011/285040

Access Statistics for this article

More articles in Abstract and Applied Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().