| Cm 中高阶偏微分方程的代数体解 |
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| 引用本文： | 高凌云.Cm 中高阶偏微分方程的代数体解[J].数学物理学报(A辑),2008,28(5):856-862. |
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| 作者姓名： | 高凌云 |
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| 作者单位： | (暨南大学数学系 广州 510632) |
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| 基金项目： | 国家自然科学基金(10471065)、广东省自然科学基金(04010474)资助 |
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| 摘 要： | 该文利用多复变函数值分布理论和技巧, 研究了Cm中高阶偏微分方程的代数体函数解的存在性问题, 建立了Cm中高阶偏微分方程的Malmquist型定理.
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| 关 键 词： | 允许解 多复变量 偏微分方程 |
| 收稿时间： | 2006-03-09 |
| 修稿时间： | 2008-01-15 |
Algebroid Solutions of Higher-Order Partial Differential Equations on Cm |
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| Gao Lingyun.Algebroid Solutions of Higher-Order Partial Differential Equations on Cm[J].Acta Mathematica Scientia,2008,28(5):856-862. |
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| Authors: | Gao Lingyun |
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| Institution: | (Department of Mathematics,Jinan University, Guangzhou 510632) |
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| Abstract: | In this paper the author investigates the problem of existence of algebroid solutions of higher-order partial differential equations in several complex variables by using value distribution theory and techniques in several complex variables.A Malmquist type theorem for higher-order partial differential equations on Cm is established. |
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| Keywords: | Admissible solutionszz Several complex variableszz Partial differential equationszz |
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