The wave equation on singular space-times
Mathematical Physics
2009-02-11 v2 General Relativity and Quantum Cosmology
Analysis of PDEs
math.MP
Abstract
We prove local unique solvability of the wave equation for a large class of weakly singular, locally bounded space-time metrics in a suitable space of generalised functions.
Cite
@article{arxiv.0710.2007,
title = {The wave equation on singular space-times},
author = {James D. E. Grant and Eberhard Mayerhofer and Roland Steinbauer},
journal= {arXiv preprint arXiv:0710.2007},
year = {2009}
}
Comments
Latex, 19 pages, 1 figure. Discussion of class of metrics covered by our results and some examples added. Conclusion more detailed. Version to appear in Communications in Mathematical Physics