椭圆型方程关于时间参数正则性估计  

REGULARITY OF ELLIPTIC EQUATION IN TIME DIRECTION

作　　者：王晓华[1] 

机构地区：[1]苏州大学数学系,江苏苏州215006

出　　处：《华南师范大学学报（自然科学版）》2002年第1期19-23,共5页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金 (10 0 710 2 4);广东省自然科学基金 (0 0 0 6 71)资助项目

摘　　要：有关解在时间t方向上的正则性是在解决发展方程组耦合问题过程中一直关注的目标 .由于在解决一些如椭圆 -抛物型方程组耦合问题、椭圆 -双曲型方程组耦合问题等 ,都会碰到椭圆型方程中关于时间t正则性的估计 ,为此这里针对椭圆型方程关于时间参数t的正则性进行分类讨论 。The main purpose is to deal with the regularity of the solution for elliptic equation in time direction. The regularity of evolutionary equations in time direction is always one of the most important aims being payed close attention to. When to solve problems such as those with elliptic-parabolic equations and for elliptic-hyperbolic systems and so on, such situations will be met as to how we estimate the regularity of the solution for elliptic equation in time direction. For this reason it is hoped that the results can do some help for a deeper understanding of these problems.

关 键 词：正则性估计 椭圆型方程 正则性 时间参数 古典解 方程组耦合问题 偏微分方程 

分 类 号：O175.25[理学—数学]