A NONLINEAR LAVRENTIEV-BITSADZE MIXED TYPE EQUATION  

作　　者：陈恕行 

机构地区：[1]School of Mathematical Sciences,Fudan University

出　　处：《Acta Mathematica Scientia》2011年第6期2378-2388,共11页数学物理学报（B辑英文版）

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

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.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.

关 键 词：nonlinear mixed type equation Tricomi problem Lavrentiev-Bitsadze equation partial hodograph transformation 

分 类 号：O175[理学—数学]