| 一奇异偏微分方程关于某单项式1-Gevrey的形式解的研究 |
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| 引用本文： | 陈璐诗,张凤.一奇异偏微分方程关于某单项式1-Gevrey的形式解的研究[J].三峡大学学报(自然科学版),2012,34(1):110-112. |
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| 作者姓名： | 陈璐诗 张凤 |
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| 作者单位： | 渤海大学数学系,辽宁锦州,121013 |
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| 摘 要： | 通过比较系数法验证某一奇异偏微分方程存在惟一形式幂级数解,证明此形式幂级数解关于某单项式是1-Gevrey的.
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| 关 键 词： | 形式幂级数 形式Borel变换 渐进展开 |
On Monomially 1-Gevrey Formal Solution of a Singular Partial Differential Equation |
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| Chen Lushi
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Zhang Feng.On Monomially 1-Gevrey Formal Solution of a Singular Partial Differential Equation[J].Journal of China Three Gorges University(Natural Sciences),2012,34(1):110-112. |
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| Authors: | Chen Lushi Zhang Feng |
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| Institution: | Chen Lushi Zhang Feng(Department of Mathematics,Bohai Univ.,Jinzhou 121013,China) |
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| Abstract: | We can use the method of comparing coefficient to find out the unique formal power series solution of a singular partial differential equation and proof that the formal power series solution is 1-Gevrey in some monomials. |
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| Keywords: | formal power series formal Borel transform asymptotic expansion |
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