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On the well posedness of Robinson-Trautman-Maxwell solutions
KTH, School of Computer Science and Communication (CSC), Numerical Analysis and Computer Science, NADA.
2008 (English)In: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 25, no 2, 025004- p.Article in journal (Refereed) Published
Abstract [en]

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 cannot be used to solve for solutions outside the analytic domain.

Place, publisher, year, edition, pages
2008. Vol. 25, no 2, 025004- p.
Keyword [en]
Astronomy & Astrophysics; Physics, Multidisciplinary; Physics, Particles & Fields
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-36266DOI: 10.1088/0264-9381/25/2/025004ISI: 000252930800004Scopus ID: 2-s2.0-37549000971OAI: oai:DiVA.org:kth-36266DiVA: diva2:430506
Note
QC 20110711Available from: 2011-07-11 Created: 2011-07-11 Last updated: 2017-12-11Bibliographically approved

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