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一类极小问题解的存在性 被引量：1

Existence of a Class of Minimization Problems
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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. 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.
作者 芮杰 李维国
机构地区 中国石油大学数学与计算科学学院
出处 《应用泛函分析学报》 CSCD 2009年第3期284-288,共5页 Acta Analysis Functionalis Applicata
关键词 弱＊收敛 下半连续 极小点 Γ-收敛 weak＊ convergence lower semi-continuity minimum point Γ-convergence
分类号 O176.1 [理学—基础数学]
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参考文献8

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共引文献60

同被引文献14

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引证文献1

应用泛函分析学报
2009年 第3期

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