Title
On existence and uniqueness of the global weak solution for a shallow water equation.
Abstract
A shallow water equation including the Camassa–Holm and Degasperis–Procesi equations as special cases is investigated. Provided that initial value u0∈H1(R),u0∈L1(R), and (1-∂x2)u0 does not change sign, the existence and uniqueness of global weak solution for the equation are established.
Year
DOI
Venue
2012
10.1016/j.amc.2012.05.029
Applied Mathematics and Computation
Keywords
Field
DocType
Existence,Uniqueness,Global weak solution,A shallow water wave equation
Uniqueness,Mathematical optimization,Peakon,Mathematical analysis,Weak solution,Initial value problem,Shallow water equations,Mathematics
Journal
Volume
Issue
ISSN
218
23
0096-3003
Citations 
PageRank 
References 
0
0.34
3
Authors
3
Name
Order
Citations
PageRank
Yunxi Guo101.01
Shaoyong Lai2123.43
Yonghong Wu321234.70