Extremal norm for potentials of Sturm-Liouville eigenvalue problems with separated boundary conditions
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Date
2017-04-11
Authors
Guo, Hongjie
Qi, Jiangang
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
For the n-th eigenvalue of a Sturm-Liouville eigenvalue problem with separated boundary conditions, we express the infimum of the L1[0,1] norm of potentials, in terms of a parameter λ and the boundary conditions. Also we indicate where the infimum can be attained. As an application, we obtain the extremum of the n-th eigenvalue of a problem for potentials on a sphere in L1[0,1].
Description
Keywords
Sturm-Liouville problem, Eigenvalue, Inverse problem, Lyapunov-type inequality, Extremal problem
Citation
Guo, H., & Qi, J. (2017). Extremal norm for potentials of Sturm-Liouville eigenvalue problems with separated boundary conditions. <i>Electronic Journal of Differential Equations, 2017</i>(99), pp. 1-11.
Rights
Attribution 4.0 International