On the Fundamental Eigenvalues gap of Sturm-Liouville Operators

Mohammed Ahrami; Zakaria El Allali; Evans M. Harrell II

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arXiv · 2407.02459

On the Fundamental Eigenvalues gap of Sturm-Liouville Operators

Mohammed Ahrami·Zakaria El Allali·Evans M. Harrell II

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Abstract

We use methods of direct optimization as in [9] to find the minimizers of the fundamental gap of Sturm-Liouville operators on an interval, under the constraint that the potential is of single-well form and that the weight function is of single-barrier form, and under similar constraints expressed in terms of convexity.

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BibTeX RIS

Mohammed Ahrami, Zakaria El Allali, Evans M. Harrell II. 2024-07-02. On the Fundamental Eigenvalues gap of Sturm-Liouville Operators. https://arxiv.org/abs/2407.02459

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