On the well posedness of Robinson Trautman Maxwell solutions
arXiv:0708.1933 · doi:10.1088/0264-9381/25/2/025004
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.
9 pages