二阶拟线性退化混合型方程的斜微商问题(英文)

Oblique Derivative Problems for Second Order Quasilinear Equations of Mixed Type with Parabolic Degeneracy

讨论了二阶拟线性退化混合型方程的斜微商问题。先给出斜微商问题的提法和解的表示式,然后采用复分析方法,证明了上述问题解的存在唯一性。

It is dealed with that oblique derivative problems for quasilirtear equations of mixed type with parabolic degeneracy, which include the Tricomi problem for Chaplygin equation as a special case. Firstly the formulation of the problems is given, and then the existence and uniqueness of solutions for the problems are proved by using a new complex analytic method.