Fractional wave equation with irregular mass and dissipation
Analysis of PDEs
2023-11-06 v1
Abstract
In this paper, we pursue our series of papers aiming to show the applicability of the concept of very weak solutions. We consider a wave model with irregular position dependent mass and dissipation terms, in particular, allowing for delta-like coefficients and prove that the problem has a very weak solution. Furthermore, we prove the uniqueness in an appropriate sense and the coherence of the very weak solution concept with classical theory. A special case of the model considered here, is the so-called telegraph equation.
Keywords
Cite
@article{arxiv.2311.01639,
title = {Fractional wave equation with irregular mass and dissipation},
author = {Michael Ruzhansky and Mohammed Elamine Sebih and Niyaz Tokmagambetov},
journal= {arXiv preprint arXiv:2311.01639},
year = {2023}
}