| 极小变分流牛曼问题的弱解的存在性 |
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| 引用本文： | 芮杰,杨孝平.极小变分流牛曼问题的弱解的存在性[J].应用泛函分析学报,2009,11(4):356-362. |
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| 作者姓名： | 芮杰 杨孝平 |
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| 作者单位： | 1. 中国石油大学,数学与计算科学学院,东营,257061
2. 南京理工大学,理学院,南京,210094 |
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| 摘 要： | 利用Crandall—Liggett半群定理和完全增长算子的性质，得到初始值属于L^2（Ω）的极小变分流第二边值问题弱解的存在性．
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| 关 键 词： | 完全增长算子 半群解 极大单调算子 弱解 |
Existence of Weak Solutions for the Minimizing Total Variation Flow with Neumann Boundary Conditions |
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| RUI Jie,YANG Xiao-ping.Existence of Weak Solutions for the Minimizing Total Variation Flow with Neumann Boundary Conditions[J].Acta Analysis Functionalis Applicata,2009,11(4):356-362. |
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| Authors: | RUI Jie YANG Xiao-ping |
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| Institution: | 1. College of Mathematics and Computational Science, China University of Petroleum, Dongying 257061, China;2 School of Science, Nanjing University of Science and Technology, Nanjing 210094, China) |
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| Abstract: | Using Crandall-Liggett's semigroups generation theorem and the quality of the completely accretive operator, we conclude that the minimizing total variation flow with Neumann boundary conditions has weak solutions. |
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| Keywords: | completely accretive operator mild solution maximal monotone operator weak solution |
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