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

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Zhaowei Sheng, Shaoyong Lai, Yuan Ma, Xuanjun Luo
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/693010
Tags: Add Tag
No Tags, Be the first to tag this record!