二阶椭圆与抛物型复方程的一般初非正则斜微商问题解的唯一性与先验估计  

The uniqueness and a priori estimates of solutions of general initial irregular oblique derivative boundary value problemfor elliptic parabolic complex equations of second order

作　　者：杨广武[1] 许克明[1] 闻国椿[2] 

机构地区：[1]河北科技大学理学院,石家庄050018 [2]北京大学数学研究所,北京100871

出　　处：《河北省科学院学报》1999年第4期6-11,共6页Journal of The Hebei Academy of Sciences

摘　　要：本文论述了多连通柱体区域上二阶椭圆与抛物型复方程的一般初非正则斜微商边值问题。我们先给出这个边值问题的提法，然后运用极值原理证明上述问题的解的唯一性，最后给出上述问题解的先验估计。This paper deals with general initial irregular oblique derivative boundary value problem for elliptic parabolic complex equation of second order in a multiply connected cylindric region.We first give the formulation of this boundary value problem,and then prove the uniqueness of solutions for above problem by using the extremum principle.Finally we give a priori estimate of solutions for above problem.

关 键 词：椭圆抛物型方程 边值问题 复方程 非正则斜微商 

分 类 号：O175.28[理学—数学]