A NONLINEAR LAVRENTIEV-BITSADZE MIXED TYPE EQUATION

作     者：陈恕行 

作者机构：School of Mathematical SciencesFudan University 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2011年第31卷第6期

页      面：2378-2388页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China (10531020) the Doctorial Foundation of National Educational Ministry (20090071110002) 

主　　题：nonlinear mixed type equation Tricomi problem Lavrentiev-Bitsadze equation partial hodograph transformation 

摘      要：In this paper the Tricomi problem for a nonlinear mixed type equation is studied. The coefficients of the mixed type equation are discontinuous on the line, where the equation changes its type. The existence of solution to this problem is proved. The method developed in this paper can be applied to study more difficult problems for nonlinear mixed type equations arising in gas dynamics.