The well-posedness of the null-timelike boundary problem for quasilinear waves
2011 (English)In: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 28, no 14, 145020- p.Article in journal (Refereed) Published
The null-timelike initial-boundary value problem for a hyperbolic system of equations consists of the evolution of data given on an initial characteristic surface and on a timelike worldtube to produce a solution in the exterior of the worldtube. We establish the well-posedness of this problem for the evolution of a quasilinear scalar wave by means of energy estimates. The treatment is given in characteristic coordinates and thus provides a guide for developing stable finite difference algorithms. A new technique underlying the approach has potential application to other characteristic initial-boundary value problems.
Place, publisher, year, edition, pages
2011. Vol. 28, no 14, 145020- p.
EINSTEIN EQUATIONS, REDUCTION, FIELDS
IdentifiersURN: urn:nbn:se:kth:diva-35629DOI: 10.1088/0264-9381/28/14/145020ISI: 000291789300020ScopusID: 2-s2.0-79959854508OAI: oai:DiVA.org:kth-35629DiVA: diva2:429414
QC 201107042011-07-042011-07-042011-07-04Bibliographically approved