二阶非线性抛物型方程组的初-斜微商边值问题(英文)  

The Initial-Oblique Derivative Problem for NonlinearParabolic Systems of Second Order Equations

作　　者：许作良[1] 闻国椿[2] 

机构地区：[1]中国人民大学信息学院,北京100872 [2]北京大学数学科学学院,北京100871

出　　处：《宁夏大学学报（自然科学版）》2006年第2期106-110,共5页Journal of Ningxia University(Natural Science Edition)

基　　金：SupportedbyNationalScienceFoundationofChina(10471149;SupportedbyChinaPostdoctoralScienceFoundation(2005037447)

摘　　要：讨论可测系数的二阶非线性非散度型抛物型方程组在多连通区域上的初-斜微商边值问题.首先提出了这一初-斜微商边值问题,然后给出了一定条件下该问题解的先验估计,利用解的估计和不动点定理可以证明所提问题解的存在性.This paper mainly deals with an initial-oblique derivative problem for nonlinear nondivergent parabolic systems of second order equations with meas＇arable coefficients in a multiply connected domain. Firstly, the initialoblique derivative problem is proposed. Afterwards we give some prior estimates of solutions for the above problem with some conditions, and by using the estimates of solutions and the fixed-point theorem, the existence of solutions for the proposed problem can be proved.

关 键 词：初-斜微商边值问题 非线性抛物型方程组 复分析方法 

分 类 号：O175.2[理学—数学] O175.8[理学—基础数学]