Corpus ID: 119648046

SECOND-ORDER HYPERBOLIC FUCHSIAN SYSTEMS. II. GOWDY SPACETIMES AND THE FUCHSIAN NUMERICAL ALGORITHM

@inproceedings{Beyer2010SECONDORDERHF,
  title={SECOND-ORDER HYPERBOLIC FUCHSIAN SYSTEMS. II. GOWDY SPACETIMES AND THE FUCHSIAN NUMERICAL ALGORITHM},
  author={Florian Beyer and Philippe G. LeFloch},
  year={2010}
}
  • Florian Beyer, Philippe G. LeFloch
  • Published 2010
  • Physics, Mathematics
  • This is the second part of a series devoted to the singular initial value problem for second-order hyperbolic Fuchsian systems. In the rst part, we dened and investigated this general class of systems, and we established a well-posedness theory in weighted Sobolev spaces. This theory is applied here to the vacuum Einstein equations for Gowdy spacetimes admitting, by denition, two Killing elds satisfying certain geometric conditions. We recover, by more direct and simpler arguments, the well… CONTINUE READING

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