带抛物退化线的二阶混合型方程的间断斜微商

journal6 ›› 2006, Vol. 27 ›› Issue (1): 1-7.

• 数学 • 下一篇

带抛物退化线的二阶混合型方程的间断斜微商

(北京大学数学学院，北京 100871)

出版日期:2006-01-25 发布日期:2012-09-16

Discontinuous Oblique Derivative Problems for Second Order Mixed Equations with Parabolic Degeneracy

(School of Mathematical Sciences,Peking University,Beijing 100871,China)

Online:2006-01-25 Published:2012-09-16
About author:WEN Guo-chun(1930-),male,was born in Hangzhou City,Zhejiang Province,professor of School of Mathematical Sciences,Peking University;research area are complex analysis and partial differential equations.
Supported by:
The National Natural Science Foundation of China (10471149)

摘要/Abstract

摘要：讨论了带抛物退化线的二阶混合型(椭圆-双曲型)方程的间断斜微商边值问题.先给出这个问题的提法和解的表示式，然后使用一种新的复分析方法，即在椭圆区域上使用复变函数，在双曲区域上使用双曲复函数，最后证明了上述混合型方程间断斜微商问题解的存在性.

关键词： 间断斜微商边值问题, 二阶混合型方程, 抛物退化线

Abstract: The paper deals with the discontinuous oblique derivative problems for second order linear equations of mixed (elliptic-hyperbolic) type with parabolic degeneracy,which include the discontinuous Tricomi problem for Chaplygin equation as a special case.Firstly the formulation and representation of solutions of the above boundary value problems are given,and then the existence of solutions for the above problems is proved,in which the complex analytic method is applied,namely the complex functions in the elliptic domain and the hyperbolic complex functions in hyperbolic domain are used.

Key words: discontinuous oblique derivative problems, second order mixed equations, parabolic degeneracy

闻国椿. 带抛物退化线的二阶混合型方程的间断斜微商[J]. journal6, 2006, 27(1): 1-7.

WEN Guo-Chun. Discontinuous Oblique Derivative Problems for Second Order Mixed Equations with Parabolic Degeneracy[J]. journal6, 2006, 27(1): 1-7.

带抛物退化线的二阶混合型方程的间断斜微商

Discontinuous Oblique Derivative Problems for Second Order Mixed Equations with Parabolic Degeneracy

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