$C_0$-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain
Analysis of PDEs
2014-09-24 v1 Functional Analysis
Abstract
Hyperbolic partial differential equations on a one-dimensional spatial domain are studied. This class of systems includes models of beams and waves as well as the transport equation and networks of non-homogeneous transmission lines. The main result of this paper is a simple test for -semigroup generation in terms of the boundary conditions. The result is illustrated with several examples.
Cite
@article{arxiv.1409.6524,
title = {$C_0$-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain},
author = {Birgit Jacob and Kirsten Morris and Hans Zwart},
journal= {arXiv preprint arXiv:1409.6524},
year = {2014}
}