On the well posedness of Robinson Trautman Maxwell solutions
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
We show that the so called Robinson-Trautman-Maxwell equations do not constitute a well posed initial value problem. That is, the dependence of the solution on the initial data is not continuous in any norm built out from the initial data and a finite number of its derivatives. Thus, they can not be used to solve for solutions outside the analytic domain.
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Cite
@article{arxiv.0708.1933,
title = {On the well posedness of Robinson Trautman Maxwell solutions},
author = {Carlos Kozameh and Oscar Reula and Heinz-Otto Kreiss},
journal= {arXiv preprint arXiv:0708.1933},
year = {2008}
}
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9 pages