四川师范大学学报（自然科学版）2017，Vol.40Issue(1)：38-44,7.DOI:10.3969/j.issn.1001-8395.2017.01.006
一类 Rosenau方程Cauchy问题解的存在性和爆破
Existence and Blow-up of the Solution of the Cauchy Problemfor the Generalized Rosenau Equation
摘要
Abstract
This paper considers the well-posedness of solution for the Cauchy problem of the generalized damped Rosenau equation in R.Frist,we prove the existence and uniqueness of the local solution for the problem by the contraction mapping principle.Then the existence of the global solution of the problem is proved.Finally,we study the blow-up of the solution for the problem by the concavity method.关键词
Rosenau方程/Cauchy问题/整体解/爆破Key words
Rosenau equation/Cauchy problem/global solution/blow-up of solution分类
数理科学引用本文复制引用
付庭鹏,王颖..一类 Rosenau方程Cauchy问题解的存在性和爆破[J].四川师范大学学报（自然科学版）,2017,40(1):38-44,7.基金项目
国家自然科学基金(11571063) （11571063）
