Extremal problems for eigenvalues of measure differential equations
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- by Gang Meng
- Proc. Amer. Math. Soc. 143 (2015), 1991-2002
- DOI: https://doi.org/10.1090/S0002-9939-2015-12304-0
- Published electronically: January 14, 2015
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Abstract:
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.References
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Bibliographic Information
- Gang Meng
- Affiliation: School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China
- Email: menggang@ucas.ac.cn
- Received by editor(s): January 29, 2013
- Received by editor(s) in revised form: July 7, 2013
- Published electronically: January 14, 2015
- Additional Notes: The author was supported by the National Natural Science Foundation of China (Grant No. 11201471), the Marine Public Welfare Project of China (No. 201105032) and the President Fund of GUCAS
- Communicated by: Yingfei Yi
- © Copyright 2015
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 143 (2015), 1991-2002
- MSC (2010): Primary 34L15, 34L40
- DOI: https://doi.org/10.1090/S0002-9939-2015-12304-0
- MathSciNet review: 3314109