| 二阶拟线性退化混合型方程的斜微商问题 |
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| 引用本文： | 闻国椿. 二阶拟线性退化混合型方程的斜微商问题[J]. 北京大学学报(自然科学版), 2006, 42(3): 285-293 |
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| 作者姓名： | 闻国椿 |
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| 作者单位： | 北京大学数学学院，北京，100871 |
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| 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。
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| 关 键 词： | 退化混合型方程 斜微商问题 解的存在唯一性 |
| 收稿时间： | 2005-07-22 |
| 修稿时间： | 2005-07-22 |
Oblique Derivative Problems for Second Order Quasilinear Equations of Mixed Type with Parabolic Degeneracy |
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| WEN Guochun. Oblique Derivative Problems for Second Order Quasilinear Equations of Mixed Type with Parabolic Degeneracy[J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2006, 42(3): 285-293 |
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| Authors: | WEN Guochun |
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| Affiliation: | School of Mathematical Sciences, Peking University, Beijing, 100871 |
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| Abstract: | 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. |
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| Keywords: | Oblique derivative problems mixed equations parabolic degeneracy |
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