二阶椭圆型复方程在多连通区域上的间断混合问题(英文)  

The Discontinuous Mixed Problem for Elliptic Complex Equations of Second Order in Multiply Connected Domains

作　　者：闻国椿[1] 

机构地区：[1]北京大学数学科学学院,北京100871

出　　处：《烟台大学学报（自然科学与工程版）》2014年第1期1-8,共8页Journal of Yantai University(Natural Science and Engineering Edition)

摘　　要：讨论一般的二阶非线性椭圆型复方程在多连通区域上的间断混合边值问题.我们先提出此边值问题和它的变态适定提法,如果此复方程和边界条件满足一定的条件,那么我们可以导出上述间断边值问题的可解性结果,在此问题的证明中我们使用了解的估计和不动点定理.此边值问题在力学和物理中有许多应用.We discuss the discontinuous mixed boundary value problem for nonlinear uniformly elliptic complex equation of second order in multiply connected domains. We first propose the boundary value problem and its new modified well-posedness. Under certain conditions, the solvability results for the above boundary value problem can be obtained, in which we use the estimates of solutions of the modified problem and the fixed-point theorem. The above problem possesses many applications in mechanics and physics etc.

关 键 词：混合边值问题 非线性椭圆型复方程 多连通区域 不动点定理的应用 

分 类 号：O175.8[理学—数学] O175.25[理学—基础数学]