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.
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.
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)
