Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, III: singular coefficients
Analysis of PDEs
2024-02-09 v1
Abstract
In this paper we continue the analysis of non-diagonalisable hyperbolic systems initiated in \cite{GarJRuz, GarJRuz2}. Here we assume that the system has discontinuous coefficients or more in general distributional coefficients. Well-posedness is proven in the very weak sense for systems with singularities with respect to the space variable or the time variable. Consistency with the classical theory is proven in the case of smooth coefficients.
Cite
@article{arxiv.2305.12832,
title = {Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, III: singular coefficients},
author = {Claudia Garetto and Bolys Sabitbek},
journal= {arXiv preprint arXiv:2305.12832},
year = {2024}
}