摘要
在一定条件下讨论了Lp 框架下Camassa Holm方程的整体存在性 ,同时考虑了Camassa Holm方程当线性色散系数k→ 0的收敛性 .
In this paper, the global existence for the Cauchy problem of the Camassa-Holm equation in L^p frame is obtained under some assumptions. Meantime, the convergence of the Camassa-Holm equation is considered as the linear dispersive coefficient k→0.
出处
《南京师大学报(自然科学版)》
CAS
CSCD
2003年第4期1-15,共15页
Journal of Nanjing Normal University(Natural Science Edition)
基金
TheauthorwaspartlysupportedbythetheNationalUniversityofSingaporeAcademicResearchGrantRP3981646 .+Correspondingauthor
theauthorwaspartlysupportedbytheNNSFofChinaGrantNo .10001018andNaturalScienceFoundationofJiangsuProvinceGrantNo .BK2 10 0 110