| 半线性发展方程的非局部问题 |
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| 引用本文： | 周先波 严平. 半线性发展方程的非局部问题[J]. 安徽师范大学学报(自然科学版), 1995, 18(2): 10-15 |
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| 作者姓名： | 周先波 严平 |
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| 摘 要： | 本文将半线性发展方程的初边值问题转化为Ｈｉｌｂｅｒｔ空间中的轴象非局部问题，应用算子半群方法，椭圆算子的性质及不动点原理，得到了非局部问题有关解的存在唯一性定理。
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| 关 键 词： | 非局部问题 发展方程 半线性 初边值问题 |
On the Nonlocal Problems of Semilinear Evolution Equation |
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| Zhou Xianbo, Yan Ping. On the Nonlocal Problems of Semilinear Evolution Equation[J]. Journal of Anhui Normal University(Natural Science Edition), 1995, 18(2): 10-15 |
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| Authors: | Zhou Xianbo Yan Ping |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper the initial-boundary value promem of semmnear evolution e-quation is reduced to the abstract nonlocal problem in some Hilbert space. The methodof semi-groups,the quality of elliptic operator and the theorem about the fixed pointare used to prove the existence and uniqueness of the solution of the nonlocal problem. |
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| Keywords: | Nonlocal problem C_0-semigroup mild solution classical solution gen-erahzed solution. |
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