TRICOMI PROBLEM FOR A MIXED EQUATION OF SECOND ORDER WITH DISCONTINUOUS COEFFICIENTS

作     者：陈恕行 

作者机构：School of Mathematical Sciences Fudan UniversityShanghai 200433 China 

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

年 卷 期：2009年第29卷第3期

页      面：569-582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：partially supported by National Natural Science Foundation of China (10531020) the National Basic Research Program of China (2006CB805902) the Project STCSM(06JC14005) the Doctorial Foundation of National Educational Ministry (20050246001) 

主　　题：mixed type equation Tricomi problem Riemann function 

摘      要：This paper is devoted to the Tricomi problem for a mixed type equation of second order. The coeffcients are assumed to be discontinuous on the line where the type is changed. The unique existence of the solution to the problem is proved if the domain is small enough. Correspondingly, some estimates on the solution is also established.