| 线性偏微分方程组的Cauchy问题一致适定性的M—判别法 |
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| 引用本文： | 胡锡炎,张学元. 线性偏微分方程组的Cauchy问题一致适定性的M—判别法[J]. 湖南大学学报(自然科学版), 1992, 19(5) |
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| 作者姓名： | 胡锡炎 张学元 |
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| 作者单位： | 湖南大学应用数学系，湖南大学应用数学系 |
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| 基金项目： | Supported by the National NSF of China |
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| 摘 要： | 本文以M-矩阵为工具,研究高维变系数线性偏微分方程组的Cauchy问题,得到该问题一致适定性与文不同的一系列显式代数判据(称为M-判别法).
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| 关 键 词： | Cauchy问题 偏微分方程 抛物型方程/一致适定 |
M-Criteria for the Consistent Suitability of the Cauchy Problem of Linear Partial Differential Systems |
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| Hu Xiyan Zhang Xueyuan. M-Criteria for the Consistent Suitability of the Cauchy Problem of Linear Partial Differential Systems[J]. Journal of Hunan University(Naturnal Science), 1992, 19(5) |
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| Authors: | Hu Xiyan Zhang Xueyuan |
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| Affiliation: | Hu Xiyan Zhang Xueyuan Department of Applied Mathematics |
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| Abstract: | The Cauchy problem of higher-dimensionar linear partial differential systems with variable coefficients is studied by taking M-matrix~[1] as a tool. A series of algebraic criteria (M-criteria) is obtained for the consistent suitability of the Cauchy problem, which are different from these reported in the references~[2-6]. |
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| Keywords: | Cauchy problem partial differential equations parabolic equations/consistent suitability. |
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