| 带抛物型退化线的二阶拟线性混合型方程的Frankl问题 |
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| 引用本文： | 闻国椿,杨丕文.带抛物型退化线的二阶拟线性混合型方程的Frankl问题[J].四川师范大学学报(自然科学版),2006,29(6):659-667. |
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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,数学系,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： | 讨论了带抛物型退化线的二阶拟线性混合型方程的Frankl问题，首先给出了解的积分表示与解的先验估计，然后利用逐次迭代和参数开拓的方法，证明了问题解的存在性．
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| 关 键 词： | Frankl问题 混合型方程 抛物型退化线 |
| 文章编号： | 1001-8395（2006）06-0659-09 |
| 收稿时间： | 2005-07-13 |
| 修稿时间： | 2005年7月13日 |
The Frankl Problems for Quasilinear Mixed Equations of Second Order with Parabolic Degeneracy |
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| WEN Guo-chun,YANG Pi-wen.The Frankl Problems for Quasilinear Mixed Equations of Second Order with Parabolic Degeneracy[J].Journal of Sichuan Normal University(Natural Science),2006,29(6):659-667. |
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| Authors: | WEN Guo-chun YANG Pi-wen |
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| Institution: | 1. School of Mathematlcal 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 Frankl problem for mixed equations of second order with parabolic degeneracy, firstly the formulation of the problem for the equations is given, next the representations and estimates of solutions for the above problem are obtained, finally the existence of solutions to the problem is proved by the successive iteration and the method of parameter extension. |
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| Keywords: | The Frankl problem Mixed equations Parabolic degeneracy |
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