B-BBM方程解的Gevrey类正则性  

The Gevrey Class Regularity of Solution for the B-BBM Equation

作　　者：朱朝生[1] 蒲志林[2] 

机构地区：[1]西南大学数学与统计学院,重庆400715 [2]四川师范大学数学系,成都610066

出　　处：《西南师范大学学报（自然科学版）》2006年第4期5-10,共6页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：四川省重点科研基金资助项目(川教计(2001)149号).

摘　　要：研究了周期边界条件下B-BBM方程解的性态.在二维情况下证明了解在关于空间变量的Gevrey函数类中关于时间是解析的.这个结果说明解关于空间变量是实解析函数.In this paper, the behavior of solutions for B-BBM equation with periodic boundary conditions is studied. In the two-dimensional case it is showed that the solutions are analytic in time with values in a Gevrey class of functions for the space variable. This result means that the solutions are real analytic functions in spatial variables.

关 键 词：B-BBM方程 Gevrey类正则性 初值问题 边值问题 

分 类 号：O175.29[理学—数学]