Wave equations for the fractional Sturm-Liouville operator with singular coefficients
Analysis of PDEs
2023-11-30 v1
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.
Keywords
Cite
@article{arxiv.2311.17823,
title = {Wave equations for the fractional Sturm-Liouville operator with singular coefficients},
author = {Michael Ruzhansky and Mohammed Elamine Sebih and Alibek Yeskermessuly},
journal= {arXiv preprint arXiv:2311.17823},
year = {2023}
}