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

作　　者：闻国椿[1] 

机构地区：[1]北京大学数学学院,北京100871

出　　处：《北京大学学报（自然科学版）》2006年第3期285-293,共9页Acta Scientiarum Naturalium Universitatis Pekinensis

基　　金：国家自然科学基金资助项目(10471149)

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。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.

关 键 词：退化混合型方程 斜微商问题 解的存在唯一性 

分 类 号：O175.2[理学—数学]