The H1(R) Space Global Weak Solutions to the Weakly Dissipative Camassa‐Holm Equation

Zhaowei Sheng, Shaoyong Lai, Yuan Ma and Xuanjun Luo

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: 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.

Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2012/693010

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:wly:jnlaaa:v:2012:y:2012:i:1:n:693010

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().