The Tricomi problem of a quasi-linear Lavrentiev-Bitsadze mixed type equation

被引：3

作者：

Chen Shuxing ^{[1
]}

Feng Zhenguo ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2013年 / 64卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Nonlinear mixed type equation; Tricomi problem; Lavrentiev-Bitsadze equation; Partial hodograph transformation;

D O I：

10.1007/s00033-012-0262-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the Tricomi problem of a quasi-linear Lavrentiev-Bitsadze mixed type equation whose coefficients depend on the first-order derivative of the unknown function. We prove the existence of solution to this problem by using the hodograph transformation. The method can be applied to study more difficult problems for nonlinear mixed type equations arising in gas dynamics.

引用

页码：755 / 766

页数：12

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