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arXiv · 2306.16137

Localization and the landscape function for regular Sturm-Liouville operators

Mirza Karamehmedović·Faouzi Triki
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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.

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Mirza Karamehmedović, Faouzi Triki. 2023-06-28. Localization and the landscape function for regular Sturm-Liouville operators. https://arxiv.org/abs/2306.16137

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