| 一类极小问题解的存在性 |
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| 引用本文： | 芮杰,李维国. 一类极小问题解的存在性[J]. 应用泛函分析学报, 2009, 11(3): 284-288 |
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| 作者姓名： | 芮杰 李维国 |
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| 作者单位： | 中国石油大学,数学与计算科学学院,山东,东营,257061 |
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| 摘 要： | 在Luminita A.Vese文章中给出的一个重要泛函算法的基础上,讨论了此泛函的一些其它理论结论,即利用Γ-收敛的性质得到该泛函极小点存在问题,泛函的变量空间的弱＊列紧等性质.同时讨论了在图像处理中一个相关泛函的极小点存在问题.
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| 关 键 词： | 弱＊收敛 下半连续 极小点 Γ-收敛 |
Existence of a Class of Minimization Problems |
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| RUI Jie,LI Wei-guo. Existence of a Class of Minimization Problems[J]. Acta Analysis Functionalis Applicata, 2009, 11(3): 284-288 |
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| Authors: | RUI Jie LI Wei-guo |
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| Affiliation: | (College of Mathematics and Computational Science, China University of Petroleum, Dongying 257061,China) |
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| Abstract: | The main goal of this paper is to discuss existence of solution about the functional minimization in image processing.Following the ideas of Luminita A.Vese,we show the existence of solutions of the functional minimization problem by Γ-convergence.At the same time,we also give the existence of solutions of the other functional minimization problem. |
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| Keywords: | weak＊ convergence lower semi-continuity minimum point Γ-convergence |
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