二阶拟线性混合型方程的间断斜微商问题

本文处理二阶拟线性混合（椭圆-抛物）型方程在单连通区域上的间断斜微商问题。我们首先导出最简单的混合型方程上述边值问题解的表示式，并证明此边值问题解的唯一性，然后用逐次迭代法证明上述问题解的存在性。本文获得了此间断边值问题的可解性结果，包括有关文献的结果作为特殊情形。

center Discontinuous Oblique Derivative Problems for Quasilinear Mixed Equations of Second Order

This paper deals with discontinuous oblique derivative problems for quasilinear sec- ond order equations of mixed (elliptic-hyperbolic) type in a simply connected domain. Firstly, we derive the representation of solutions of the above boundary value problems for the simplest mixed equation and prove the uniqueness of solutions for the problems, and then by using the method of successive iteration, the existence of solutions for the above problem, is proved. In the present paper, we obtain the solvability result on the discontinuous oblique derivative problems, which includes the corresponding results as special cases.