EXTREMAL PROBLEMS FOR EIGENVALUES OF MEASURE DIFFERENTIAL EQUATIONS

被引：28

作者：

Meng, Gang ^{[1
]}

机构：

[1] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 05期

基金：

中国国家自然科学基金;

关键词：

PRINCIPAL EIGENVALUE; INDEFINITE WEIGHT; MINIMIZATION;

D O I：

10.1090/S0002-9939-2015-12304-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Measure differential equations can model non-classical problems like the quantum effects. In this paper we will solve extremal problems for eigenvalues of measure differential equations by exploiting the approximation of general measures by smooth measures and the continuity results of eigenvalues in weak* topology of measures.

引用

页码：1991 / 2002

页数：12

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