可测系数的二阶非线性抛物型方程组的初-正则斜微商问题

北京大学学报（自然科学版）

可测系数的二阶非线性抛物型方程组的初-正则斜微商问题

闻国椿

北京大学数学科学学院，北京，100871

收稿日期:1996-04-17 出版日期:1997-01-20 发布日期:1997-01-20

Initial-Regular Oblique Derivative Problems for Nonlinear Parabolic Systems of Several Second Order Equations with Measurable Coefficients

WEN Guochun

Department of Mathematics, Peking University, Beijing, 100871

Received:1996-04-17 Online:1997-01-20 Published:1997-01-20

摘要/Abstract

摘要： 论述了多连通区域上可测系数的二阶非线性抛物型方程组的初-正则斜微商问题。首先，给出一定条件下的上述初边值问题解的先验估计，然后使用解的上述估计和参数开拓法证明这种初边值问题解的存在性。

关键词: 初-正则斜微商问题, 非线性抛物型方程组, 可测系数

Abstract: The initial-regular oblique derivative problem for nonlinear parabolic systems of several second order complex equations with measurable coefficients in a multiply connected domain is discussed. Firstly, the author is a priori estimates of solutions for the above initial-boundary value problem with some conditions, afterwards by using the above estimates of solutions and the method of parameter extension, the existence of solutions for the above problem is proved.

Key words: initial-regular oblique derivative problems, nonlinear parabolic systems, measurable coefficients

中图分类号:

闻国椿. 可测系数的二阶非线性抛物型方程组的初-正则斜微商问题[J]. 北京大学学报（自然科学版）.

WEN Guochun. Initial-Regular Oblique Derivative Problems for Nonlinear Parabolic Systems of Several Second Order Equations with Measurable Coefficients[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

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