Abstract
We consider the localization in the eigenfunctions of regular Sturm-Liouville operators. After deriving non-asymptotic and asymptotic lower and upper bounds on the localization coefficient of the eigenfunctions, we characterize the landscape function in terms of the first eigenfunction. Several numerical experiments are provided to illustrate the obtained theoretical results.
Original language | English |
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Journal | Communications in Mathematical Sciences |
Volume | 22 |
Issue number | 6 |
Pages (from-to) | 1733-1748 |
ISSN | 1539-6746 |
DOIs | |
Publication status | Published - 2024 |
Keywords
- Spectral theory
- Sturm-Liouville theory