二阶退化双曲型方程组的Darboux型问题(英文)

Darboux Type Problems for Degenerate Hyperbolic Systems of Second Order Equations

讨论了二阶退化双曲型方程组的Darboux型问题.文中先给出这个问题解的表示式,然后使用复分析方法,证明了此问题解的存在性和唯一性.

The present paper deals with Darboux type problems for the general degenerate hyperbolic systems of second order equations, mainly the representation of solutions for Darboux type problems is given, and the existence and uniqueness of solutions for the problems are proved. The results in this paper can be used to handle the Tricomi problem of generalized mixed（elliptic-hyperbolic） systems of second order equations.