Semigroups for dynamical processes on metric graphs
Analysis of PDEs
2020-09-22 v2 Dynamical Systems
Abstract
We present the operator semigroups approach to first- and second-order dynamical systems taking place on metric graphs. We briefly survey the existing results and focus on the well-posedness of the problems with standard vertex conditions. Finally, we show two applications to biological models.
Cite
@article{arxiv.2006.03123,
title = {Semigroups for dynamical processes on metric graphs},
author = {Marjeta Kramar Fijavž and Aleksandra Puchalska},
journal= {arXiv preprint arXiv:2006.03123},
year = {2020}
}
Comments
To be published in Phil. Trans. R. Soc. A 378: 20190619