Optimal Potentials of Measure Differential Equations with Given Spectral Data

Zhiyuan Wen (), Lijuan Zhou () and Meirong Zhang ()
Additional contact information
Zhiyuan Wen: Inner Mongolia University
Lijuan Zhou: Inner Mongolia University
Meirong Zhang: Tsinghua University

Journal of Optimization Theory and Applications, 2020, vol. 184, issue 1, No 8, 139-161

Abstract: Abstract In this paper, we consider the Dirichlet eigenvalue problems of second-order measure differential equations with a general distribution of potentials. The following optimization problem will be solved: when the m-th eigenvalue is known, we will find explicitly what distribution of potentials will have the minimal total variation. The main tool used herein is some deep continuity results on eigenvalues.

Keywords: Measure differential equation; Eigenvalue; Potential; Measure; Spectral data; 34L15; 34L40; 58C07 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-018-01462-y Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:184:y:2020:i:1:d:10.1007_s10957-018-01462-y

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-018-01462-y

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().