特征向量
度量(数据仓库)
等光谱
数学
校长(计算机安全)
应用数学
数学分析
边值问题
Neumann边界条件
矩阵微分方程
微分方程
计算机科学
量子力学
数据库
操作系统
物理
作者
Zhiyuan Wen,Meirong Zhang
出处
期刊:Discrete and Continuous Dynamical Systems-series B
[American Institute of Mathematical Sciences]
日期:2020-01-01
卷期号:25 (8): 3257-3274
被引量:1
标识
DOI:10.3934/dcdsb.2020061
摘要
In this paper, we will first establish the necessary and sufficient conditions for the existence of the principal eigenvalues of second-order measure differential equations with indefinite weighted measures subject to the Neumann boundary condition. Then we will show the principal eigenvalues are continuously dependent on the weighted measures when the weak$^*$ topology is considered for measures. As applications, we will finally solve several optimization problems on principal eigenvalues, including some isospectral problems.
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