正则化Ginzburg-Landau型泛函极小元估计及渐近行为  

Minimal Element Estimation and Asymptotic Behavior of Regularized Ginzburg-Landau Functional

作　　者：韩海燕[1] HAN Hai-yan(Departerment of Teacher Education,Maanshan Teachers School,Ma'anshan 243041,China)

机构地区：[1]马鞍山师范高等专科学校教师教育系,安徽马鞍山243041

出　　处：《通化师范学院学报》2023年第4期34-39,共6页Journal of Tonghua Normal University

基　　金：安徽省教育厅自然科学研究重点项目“基于函数变换型的灰色预测模型及其算法研究”(KJ2017A85418)。

摘　　要：在容许函数类空间中研究正则化Ginzburg-Landau型泛函极小元的渐近行为,以及它的估计问题.先给出正则化Ginzburg-Landau型泛函极小元渐近行为的一些相关事实,并利用Young不等式等方法加强此渐近行为的结论 .在此基础上,利用Young不等式和Holder不等式等方法研究极小元的估计,并建立估计数.In this paper,we study the asymptotic behavior of the regularized Ginzburg-Landau type func⁃tional minimizer and its estimation in the admissible function class space.In this paper,we first give some relevant facts about the asymptotic behavior of the regularized Ginzburg-Landau type functional minimizer,and use Young inequality and other methods to strengthen the conclusionof this asymptotic behavior.On this basis,the article uses Young inequality and Holder inequality and other methods to study the estima⁃tion of the minimum element,and establishes the estimate.

关 键 词：GINZBURG-LANDAU型泛函 正则化 极小元 渐近行为 估计 不等式 

分 类 号：O175.2[理学—数学]