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arXiv · 0708.1933

On the well posedness of Robinson Trautman Maxwell solutions

Carlos Kozameh·Oscar Reula·Heinz-Otto Kreiss
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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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Carlos Kozameh, Oscar Reula, Heinz-Otto Kreiss. 2007-08-14. On the well posedness of Robinson Trautman Maxwell solutions. https://doi.org/10.1088/0264-9381%2F25%2F2%2F025004

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