| 退化秩为0的二阶非线性混合型方程的Tricomi问题(英文) |
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| 引用本文： | 闻国椿,杨丕文.退化秩为0的二阶非线性混合型方程的Tricomi问题(英文)[J].四川师范大学学报(自然科学版),2009,32(3). |
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| 作者姓名： | 闻国椿 杨丕文 |
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| 作者单位： | 1. 北京大学,数学科学学院,北京,100871
2. 四川师范大学,数学与软件科学学院,四川,成都,610066 |
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| 摘 要： | 讨论退化秩为0的二阶非线性混合型方程的Tricomi问题,先给出这个问题的提法,得到了解的表示式,然后由逐次叠代的方法和列紧性原理证明这个问题解的存在性.
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| 关 键 词： | Tricomi问题 非线性混合型方程 退化秩为0 |
The Tricomi Problem for Second Order Nonlinear Equations of Mixed Type with Degenerate Rank 0 |
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| WEN Guo-chun,YANG Pi-wen.The Tricomi Problem for Second Order Nonlinear Equations of Mixed Type with Degenerate Rank 0[J].Journal of Sichuan Normal University(Natural Science),2009,32(3). |
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| Authors: | WEN Guo-chun YANG Pi-wen |
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| Institution: | 1.School of Mathematical Sciences;Peking University;Beijing 100871;2.College of Mathematics and Software Science;Sichuan Normal University;Chengdu 610066;Sichuan |
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| Abstract: | The present paper deals with the Tricomi problem for second order nonlinear mixed equations with degenerate rank 0.Firstly the formulation of the problem for the equations is proposed,secondly the representation of solutions for the above problem is obtained,finally the existence of solutions for the problem is proved by the successive iteration and the method of parameter extension. |
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| Keywords: | Tricomi problem Nonlinear mixed equations Degenerate rank 0 |
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