具有可测系数的二阶线性抛物型方程在高维区域的初-斜微商边值问题  

INITIAL-OBLIQUE DERIVAIVE PROBLEMS FOR LINEAR MRABOLIC EQUATIONS OF SECOND ORDER WITH MEASURABLE C0EFFICIENTS IN A HIGHER DIMENSIONAL DOMAIN

作　　者：闻国椿[1] 邹本腾[1] 

机构地区：[1]北京大学数学科学学院,北京100871

出　　处：《应用数学学报》1999年第4期579-588,共10页Acta Mathematicae Applicatae Sinica

摘　　要：Alkhutov,Manedov在[1]中讨论了具有可测系数的线性一致抛物型方程的Dirichlet问题,其中系数满足:这里k0,k1,p(＞n+2)是非负常数，本文讨论带有可测系数的一般线性一致抛物型方程的初-斜微商边值问题.In [1], Yu. A. Alkhutov and I. T. Mamedov discussed the solvability of Dirichlet problem for the linear uniformly parabolic equation with measurable coefficients:where the coefficients satisfy the conditions:where k0, k1, p (> n + 2) are nonnegative constants. In the present paper, we shall discuss the solvability of initial-oblique derivative problems for general linear uniformly parabolic equations of second order with measurable coefficients.

关 键 词：可测系数 初-斜微商问题 抛物型方程 边值问题 

分 类 号：O175.26[理学—数学]