| 一个半线性抛物型方程初值问题古典解的局部存在性 |
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| 引用本文： | 闫德宝. 一个半线性抛物型方程初值问题古典解的局部存在性[J]. 长春师范学院学报, 2007, 26(1): 6-7 |
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| 作者姓名： | 闫德宝 |
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| 作者单位： | 菏泽学院数学系,山东菏泽274015 |
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| 摘 要： | 用算子etΔ定义一积分方程,应用Banach空间上的不动点定理证明了一个半线性抛物型方程初值问题古典解的局部存在唯一性.
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| 关 键 词： | 半线性抛物型方程 古典解 局部存在唯一 |
| 文章编号： | 1008-178X（2007）01-0006-02 |
| 修稿时间： | 2006-10-09 |
The Partial Existence and Uniqueness of Classical Solution to Initial Value Problem of a Semilinear Parabolic Equation |
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| YAN De-bao. The Partial Existence and Uniqueness of Classical Solution to Initial Value Problem of a Semilinear Parabolic Equation[J]. Journal of Changchun Teachers College, 2007, 26(1): 6-7 |
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| Authors: | YAN De-bao |
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| Affiliation: | Department of mathematics, Heze University, Heze 274015, China |
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| Abstract: | In this paper the partial existence and uniqueness of classical solution to a semilinear parabolic equation has been proved by defining an integral equation with the operator and the fixed point theorem in the Banach Space. |
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| Keywords: | semilinear parabolic equation classical solution partial existence and uniqueness |
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