Open AccessExtremal problems for eigenvalues of measure differential equations
Author(s) -
Gang Meng
Publication year - 2015
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-2015-12304-0
Subject(s) - measure (data warehouse) , eigenvalues and eigenvectors , semantics (computer science) , differential equation , mathematics , annotation , computer science , algorithm , mathematical analysis , data mining , artificial intelligence , quantum mechanics , physics , programming language
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.