The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation
Analysis of PDEs
2021-06-11 v2
Abstract
The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation is analyzed. With the focus on non-homogeneous boundary data, two approaches are offered: one is based on the theory of hyperbolic equations, while the other one uses the theory of operator semigroups. This is a mixed hyperbolic problem with a characteristic spatial boundary. Hence, the regularity results exhibit some deficiencies when compared with the non-characteristic case.
Cite
@article{arxiv.2004.11167,
title = {The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation},
author = {Francesca Bucci and Matthias Eller},
journal= {arXiv preprint arXiv:2004.11167},
year = {2021}
}
Comments
25 pages. A gap in the proof in Section 3 has been fixed, resulting in a modification of the regularity result in the second part of our main theorem. Accepted for publication in C. R. Math. Acad. Sci. Paris