| 完全二阶抽象Cauchy问题的C-适定性及其应用 |
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| 引用本文： | 高明杵.完全二阶抽象Cauchy问题的C-适定性及其应用[J].数学学报,1999,42(1):141-150. |
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| 作者姓名： | 高明杵 |
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| 作者单位： | 山西师范大学数学与计算机系,临汾,041004 |
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| 基金项目： | 国家自然科学基金，山西省青年科技基金 |
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| 摘 要： | 在本文中,我们给出了算子矩阵生成指数有界的半群的充分必要条件，其中A0，A1为完全二阶抽象柯西问题（ACP2）的系数算子，并讨论了它与（ACP2）在某种意义下的C-适定性之间的关系．最后，我们应用此结果及［3］中的结论讨论了一类具有应用背景的完全二阶抽象柯西问题的C-适定性．
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| 关 键 词： | 抽象柯西问题 C-半群 C-适定性 |
| 修稿时间： | :1996-06-2 |
C-wellposedness of the Complete Second Order Abstract Cauchy Problem and applications |
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| Gao Mingchu.C-wellposedness of the Complete Second Order Abstract Cauchy Problem and applications[J].Acta Mathematica Sinica,1999,42(1):141-150. |
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| Authors: | Gao Mingchu |
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| Institution: | Gao Mingchu(Department of Mathematics, Shanxi Teachers University, Linfen 041004, P. R. China)(E-mall. mcgao@dns.sxtu.edu.cu) |
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| Abstract: | In this paper, we give sufficient and necessary conditions for operator ma trix to generate an exponentially bounded semigroup, where A1 and A0 are the coefficent operators of the complete sedond order abstract Cauchy problem (ACP2). we also give the relationship between the fact that generates an exponentially bounded semigroup and the C-wellposedness of semigroup and the C-wellposedness of (ACP2). Finally, we apply these,esult and those in 3] to discuss the C-wellposedness of a kind of (ACP2) with application background. |
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| Keywords: | Abstract Cauchy problem C-wellposedness C-semigroups |
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