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arXiv · 2311.17823

Wave equations for the fractional Sturm-Liouville operator with singular coefficients

Michael Ruzhansky·Mohammed Elamine Sebih·Alibek Yeskermessuly
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Abstract

In this paper, we consider the wave equation for the fractional Sturm-Liouville operator with lower order terms and singular coefficients and data. We prove that the problem has a very weak solution. Furthermore, we prove the uniqueness in an appropriate sense and the consistency of the very weak solution concept with the classical theory.

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Michael Ruzhansky, Mohammed Elamine Sebih, Alibek Yeskermessuly. 2023-11-29. Wave equations for the fractional Sturm-Liouville operator with singular coefficients. https://arxiv.org/abs/2311.17823

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