Oblique Derivative Problems for Second Order Quasilinear Equations of Mixed Type with Parabolic Degeneracy

Acta Scientiarum Naturalium Universitatis Pekinensis

Oblique Derivative Problems for Second Order Quasilinear Equations of Mixed Type with Parabolic Degeneracy

WEN Guochun

School of Mathematical Sciences, Peking University, Beijing, 100871

Received:2005-07-22 Online:2006-05-20 Published:2006-05-20

二阶拟线性退化混合型方程的斜微商问题

闻国椿

北京大学数学学院，北京，100871

Abstract

Abstract: It is dealed with that oblique derivative problems for quasilinear equations of mixed type with parabolic degeneracy, which include the Tricomi problem for Chaplygin equation as a special case. Firstly the formulation of the problems is given, and then the existence and uniqueness of solutions for the problems are proved by using a new complex analytic method.

Key words: Oblique derivative problems, mixed equations, parabolic degeneracy

摘要： 讨论了二阶拟线性退化混合型方程的斜微商问题。先给出斜微商问题的提法和解的表示式，然后采用复分析方法，证明了上述问题解的存在唯一性。

关键词: 退化混合型方程, 斜微商问题, 解的存在唯一性

CLC Number:

O175.2

WEN Guochun. Oblique Derivative Problems for Second Order Quasilinear Equations of Mixed Type with Parabolic Degeneracy[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

闻国椿. 二阶拟线性退化混合型方程的斜微商问题[J]. 北京大学学报（自然科学版）.

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URL: https://xbna.pku.edu.cn/EN/

https://xbna.pku.edu.cn/EN/Y2006/V42/I3/285

[1]	WEN Guochun. Oblique Derivative Problems for Quasilinear Degenerate Elliptic Equations of Second Order [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2006, 42(1): 29-34.
[2]	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, 1997, 33(1): 1-11.