Finite codimension stability of some time-periodic hyperbolic equations (via compact resolvents)
Analysis of PDEs
2015-10-20 v1 General Relativity and Quantum Cosmology
Abstract
We identify a class of time-periodic linear symmetric hyperbolic equations that are finite codimension stable, because an associated operator has compact resolvent, sufficiently far to the right in the complex plane. This paper is an attempt to capture abstractly the observation in numerical general relativity that some discretely self-similar spacetimes, such as Choptuik's critical spacetime, are finite codimension stable.
Keywords
Cite
@article{arxiv.1510.05310,
title = {Finite codimension stability of some time-periodic hyperbolic equations (via compact resolvents)},
author = {Michael Reiterer},
journal= {arXiv preprint arXiv:1510.05310},
year = {2015}
}