Uniqueness results for ill posed characteristic problems in curved space-times
General Relativity and Quantum Cosmology
2009-01-19 v2 Analysis of PDEs
Abstract
We prove two uniqueness theorems for solutions of linear and nonlinear wave equations; the first theorem is in the Minkowski space while the second is in the domain of outer communication of a Kerr black hole. Both theorems concern ill posed Cauchy problems on smooth, bifurcate, characteristic hypersurfaces. In the case of the Kerr space-time this hypersurface is the event horizon of the black hole.
Cite
@article{arxiv.0711.0042,
title = {Uniqueness results for ill posed characteristic problems in curved space-times},
author = {Alexandru D. Ionescu and Sergiu Klainerman},
journal= {arXiv preprint arXiv:0711.0042},
year = {2009}
}
Comments
Various corrections