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 quasilinear 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.国家自然科学基金中文核心期刊要目总览(PKU)中国科学引文数据库(CSCD)03285-2934