Acta Scientiarum Naturalium Universitatis Pekinensis

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

WEN Guochun   

  1. School of Mathematical Sciences, Peking University, Beijing, 100871
  • Received:2005-07-22 Online:2006-05-20 Published:2006-05-20



  1. 北京大学数学学院,北京,100871

Abstract: 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.

Key words: Oblique derivative problems, mixed equations, parabolic degeneracy

摘要: 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。

关键词: 退化混合型方程, 斜微商问题, 解的存在唯一性

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